{"children":[],"children_count":0,"node_id":152300,"node_info":{"created_at":"Fri, 12 Sep 2025 14:00:22 GMT","data_type":"questions","has_data":1,"id":152300,"is_questions":1,"name":"Test-30","parent_id":151897,"raw_data":"{\"id\": \"152300\", \"path\": \"Limit Yay\u0131nlar\u0131 2025-2026 D\u00f6nemi/Limit Yay\u0131nlar\u0131 10. S\u0131n\u0131f Yay\u0131nlar\u0131m\u0131z/Limit Yay\u0131nlar\u0131 10.S\u0131n\u0131f Yaprak Testler/Limit Yay\u0131nlar\u0131 10. S\u0131n\u0131f Matematik Yaprak Test/Test-30\", \"parent\": \"151897\", \"result\": null, \"status\": true, \"answers\": \"ACAEBDCEE\", \"contents\": [{\"id\": \"1158055\", \"diff\": \"5\", \"name\": \"Soru\", \"type\": \"fernus\", \"image\": \"https://limit.frns.in/uploads/assets/questions/152275/9e52abb5a94e7a76e8f91f72bda93d38.png\", \"answer\": \"A\", \"solved\": \"https://limit.frns.in/soru_cozum/web_player/?mp3=https://limit.frns.in/uploads/assets/solution/cozum_1158055_07_20_2025_09_45_56.mp3&pdf=https://limit.frns.in/uploads/assets/questions/152275/9e52abb5a94e7a76e8f91f72bda93d38.pdf&swf=https://limit.frns.in/uploads/assets/questions/152275/9e52abb5a94e7a76e8f91f72bda93d38.swf&xaml=https://limit.frns.in/uploads/assets/solution/cozum_1158055_07_20_2025_09_45_56.xaml\", \"subjects\": [{\"id\": \"13312\", \"name\": \"Rasyonel referans fonksiyonu grafik ve cebirsel temsili \u00fczerinde yap\u0131lan i\u015flemlerle di\u011fer rasyonel fonksiyonlara d\u00f6n\u00fc\u015ft\u00fcr\u00fcr.\"}, {\"id\": \"13313\", \"name\": \"Rasyonel referans fonksiyon ile elde etti\u011fi rasyonel fonksiyonlar\u0131n grafik ve cebirsel temsilleri aras\u0131ndaki ili\u015fkiyi ifade eder.\"}, {\"id\": \"13314\", \"name\": \"Rasyonel referans fonksiyonun nitel \u00f6zelliklerinden hareketle di\u011fer rasyonel fonksiyonlar\u0131n nitel \u00f6zellikleri hakk\u0131nda varsay\u0131mlarda bulunur.\"}, {\"id\": \"13315\", \"name\": \"Varsay\u0131mlar\u0131na dayal\u0131 olarak rasyonel fonksiyonlar\u0131n nitel \u00f6zelliklerine ili\u015fkin \u00f6r\u00fcnt\u00fcleri (cebirsel, say\u0131sal veya grafiksel) geneller.\"}, {\"id\": \"13316\", \"name\": \"Genellemelerinin varsay\u0131mlar\u0131n\u0131 kar\u015f\u0131lay\u0131p kar\u015f\u0131lamad\u0131\u011f\u0131n\u0131 kontrol eder.\"}, {\"id\": \"13317\", \"name\": \"Genellemelerinden elde etti\u011fi \u00f6nermeleri uygun s\u00f6zel veya cebirsel dil ile sunar.\"}, {\"id\": \"13318\", \"name\": \"Elde etti\u011fi \u00f6nermelerin ger\u00e7ek ya\u015fam ba\u011flamlar\u0131ndaki kullan\u0131\u015fl\u0131l\u0131\u011f\u0131n\u0131 de\u011ferlendirir.\"}, {\"id\": \"13319\", \"name\": \"\u00d6nermelerini grafiksel olarak do\u011frular veya cebirsel olarak ispatlar.\"}, {\"id\": \"13320\", \"name\": \"\u0130\u015fe ko\u015ftu\u011fu do\u011frulama veya ispat y\u00f6ntemlerinin farkl\u0131 durumlardaki kullan\u0131\u015fl\u0131l\u0131\u011f\u0131n\u0131 de\u011ferlendirir.\"}, {\"id\": \"13327\", \"name\": \"Bu fonksiyonlarla ifade edilebilen denklem ve e\u015fitsizliklere ili\u015fkin matematiksel bile\u015fenleri (nitel \u00f6zellikleri ile cebirsel ve grafik temsilleri) belirler.\"}, {\"id\": \"13328\", \"name\": \"Bu fonksiyonlarla ifade edilebilen denklem ve e\u015fitsizliklere ili\u015fkin matematiksel bile\u015fenlerin aralar\u0131ndaki ili\u015fkileri belirler.\"}, {\"id\": \"13329\", \"name\": \"Bu fonksiyonlarla ifade edilebilen denklem ve e\u015fitsizliklerin problem ba\u011flam\u0131ndaki temsillerini farkl\u0131 temsillere d\u00f6n\u00fc\u015ft\u00fcr\u00fcr.\"}, {\"id\": \"13330\", \"name\": \"D\u00f6n\u00fc\u015ft\u00fcrd\u00fc\u011f\u00fc temsillerin problem ba\u011flam\u0131ndaki anlam\u0131n\u0131 ifade eder.\"}, {\"id\": \"13331\", \"name\": \"Elde etti\u011fi ve yorumlad\u0131\u011f\u0131 farkl\u0131 temsillerden yararlanarak problemin \u00e7\u00f6z\u00fcm\u00fc i\u00e7in strateji olu\u015fturur.\"}, {\"id\": \"13332\", \"name\": \"Belirledi\u011fi stratejiyi kullan\u0131r.\"}, {\"id\": \"13333\", \"name\": \"Elde etti\u011fi \u00e7\u00f6z\u00fcm\u00fc farkl\u0131 y\u00f6ntemleri kullanarak do\u011frular.\"}, {\"id\": \"13334\", \"name\": \"Problemin olas\u0131 \u00e7\u00f6z\u00fcm stratejilerini g\u00f6zden ge\u00e7irir.\"}, {\"id\": \"13335\", \"name\": \"Problemin olas\u0131 \u00e7\u00f6z\u00fcm stratejilerinin farkl\u0131 problem durumlar\u0131nda kullan\u0131m\u0131 ile ilgili \u00e7\u0131kar\u0131mlar yapar.\"}, {\"id\": \"13336\", \"name\": \"\u00c7\u0131kar\u0131mlar\u0131n\u0131n ge\u00e7erlili\u011fini s\u00f6zel, cebirsel ve grafiksel arg\u00fcmanlarla de\u011ferlendirir.\"}, {\"id\": \"13285\", \"name\": \"Ger\u00e7ek say\u0131larda fonksiyon olma \u015fartlar\u0131 ile ger\u00e7ek say\u0131larda tan\u0131ml\u0131 fonksiyonlar\u0131n nitel \u00f6zelliklerini (tan\u0131m k\u00fcmesi, g\u00f6r\u00fcnt\u00fc k\u00fcmesi, i\u015fareti, artanl\u0131\u011f\u0131-azalanl\u0131\u011f\u0131, maksimum-minimum noktalar\u0131, s\u0131f\u0131rlar\u0131, bire birli\u011fi, tekli\u011fi-\u00e7iftli\u011fi, \u00f6rtenli\u011fi) grafik\"}, {\"id\": \"13286\", \"name\": \"Ger\u00e7ek say\u0131larda tan\u0131ml\u0131 fonksiyonlar\u0131n grafik ve cebirsel temsillerini fonksiyon olma \u015fartlar\u0131 ve fonksiyonlar\u0131n nitel \u00f6zellikleri bak\u0131m\u0131ndan kar\u015f\u0131la\u015ft\u0131r\u0131r.\"}, {\"id\": \"13287\", \"name\": \"Kar\u015f\u0131la\u015ft\u0131rmalar\u0131ndan hareketle ger\u00e7ek say\u0131larda tan\u0131ml\u0131 fonksiyonlar\u0131n grafik ve cebirsel temsilleri ile nitel \u00f6zellikleri hakk\u0131nda yarg\u0131da bulunur.\"}, {\"id\": \"13288\", \"name\": \"Karesel referans fonksiyonun nitel \u00f6zelliklerini (tan\u0131m k\u00fcmesi, g\u00f6r\u00fcnt\u00fc k\u00fcmesi, i\u015fareti, artanl\u0131\u011f\u0131-azalanl\u0131\u011f\u0131, maksimum-minimum noktalar\u0131, s\u0131f\u0131rlar\u0131, bire birli\u011fi, tekli\u011fi-\u00e7iftli\u011fi, \u00f6rtenli\u011fi) matematiksel temsilleri kullanarak belirler.\"}, {\"id\": \"13289\", \"name\": \"Karesel referans fonksiyonun nitel \u00f6zellikleri ile matematiksel temsilleri aras\u0131ndaki ili\u015fkileri belirler.\"}, {\"id\": \"13290\", \"name\": \"Karesel referans fonksiyonu grafik ve cebirsel temsili \u00fczerinde yap\u0131lan i\u015flemlerle di\u011fer karesel fonksiyonlara d\u00f6n\u00fc\u015ft\u00fcr\u00fcr.\"}, {\"id\": \"13291\", \"name\": \"Karesel referans fonksiyon ile elde etti\u011fi karesel fonksiyonlar\u0131n grafik ve cebirsel temsilleri aras\u0131ndaki ili\u015fkiyi ifade eder.\"}, {\"id\": \"13292\", \"name\": \"Karesel referans fonksiyonun nitel \u00f6zelliklerinden hareketle di\u011fer karesel fonksiyonlar\u0131n nitel \u00f6zellikleri hakk\u0131nda varsay\u0131mlarda bulunur.\"}, {\"id\": \"13293\", \"name\": \"Varsay\u0131mlar\u0131na dayal\u0131 olarak karesel fonksiyonlar\u0131n nitel \u00f6zelliklerine ili\u015fkin \u00f6r\u00fcnt\u00fcleri (cebirsel, say\u0131sal veya grafiksel) geneller.\"}, {\"id\": \"13294\", \"name\": \"Genellemelerinin varsay\u0131mlar\u0131n\u0131 kar\u015f\u0131lay\u0131p kar\u015f\u0131lamad\u0131\u011f\u0131n\u0131 kontrol eder.\"}, {\"id\": \"13295\", \"name\": \"Genellemelerinden elde etti\u011fi \u00f6nermeleri uygun s\u00f6zel veya cebirsel dil ile sunar.\"}, {\"id\": \"13296\", \"name\": \"Elde etti\u011fi \u00f6nermelerin ger\u00e7ek ya\u015fam ba\u011flamlar\u0131ndaki kullan\u0131\u015fl\u0131l\u0131\u011f\u0131n\u0131 de\u011ferlendirir.\"}, {\"id\": \"13297\", \"name\": \"\u00d6nermelerini grafiksel olarak do\u011frular veya cebirsel olarak ispatlar.\"}, {\"id\": \"13298\", \"name\": \"\u0130\u015fe ko\u015ftu\u011fu do\u011frulama veya ispat y\u00f6ntemlerinin farkl\u0131 durumlardaki kullan\u0131\u015fl\u0131l\u0131\u011f\u0131n\u0131 de\u011ferlendirir.\"}, {\"id\": \"13310\", \"name\": \"Rasyonel referans fonksiyonun nitel \u00f6zelliklerini (tan\u0131m k\u00fcmesi, g\u00f6r\u00fcnt\u00fc k\u00fcmesi, i\u015fareti, artanl\u0131\u011f\u0131-azalanl\u0131\u011f\u0131, maksimum-minimum noktalar\u0131, s\u0131f\u0131rlar\u0131, bire birli\u011fi, tekli\u011fi-\u00e7iftli\u011fi, \u00f6rtenli\u011fi) matematiksel temsilleri kullanarak belirler.\"}, {\"id\": \"13311\", \"name\": \"Rasyonel referans fonksiyonun nitel \u00f6zellikleri ile matematiksel temsilleri aras\u0131ndaki ili\u015fkileri belirler.\"}], \"order_number\": \"1\", \"b_question_answer\": null, \"b_question_number\": null}, {\"id\": \"1158056\", \"diff\": \"5\", \"name\": \"Soru\", \"type\": \"fernus\", \"image\": \"https://limit.frns.in/uploads/assets/questions/152275/a73967cfb0e85cfaf3d30324c3b2c65a.png\", \"answer\": \"C\", \"solved\": \"https://limit.frns.in/soru_cozum/web_player/?mp3=https://limit.frns.in/uploads/assets/solution/cozum_1158056_07_19_2025_19_42_48.mp3&pdf=https://limit.frns.in/uploads/assets/questions/152275/a73967cfb0e85cfaf3d30324c3b2c65a.pdf&swf=https://limit.frns.in/uploads/assets/questions/152275/a73967cfb0e85cfaf3d30324c3b2c65a.swf&xaml=https://limit.frns.in/uploads/assets/solution/cozum_1158056_07_19_2025_19_42_48.xaml\", \"subjects\": [{\"id\": \"13321\", \"name\": \"Referans fonksiyonlar ve bunlardan t\u00fcretilebilen fonksiyonlar \u00fczerinden bir fonksiyonun ters fonksiyonuna ili\u015fkin varsay\u0131mlarda bulunur.\"}, {\"id\": \"13322\", \"name\": \"Varsay\u0131mlar\u0131ndan yararlan\u0131p farkl\u0131 durumlarla ilgili \u00f6r\u00fcnt\u00fcleri listeleyerek referans\"}, {\"id\": \"13323\", \"name\": \"ksiyonlar ve bunlardan t\u00fcretilen fonksiyonlar\u0131n ters fonksiyonlar\u0131na ili\u015fkin genellemeler yapar.\"}, {\"id\": \"13324\", \"name\": \"Referans fonksiyonlar ve bunlardan t\u00fcretilen fonksiyonlar\u0131n ters fonksiyonlar\u0131yla ili\u015fkisine dair varsay\u0131mlar\u0131 ile genellemelerini kar\u015f\u0131la\u015ft\u0131r\u0131r.\"}, {\"id\": \"13325\", \"name\": \"Referans fonksiyonlar ve bunlardan t\u00fcretilen fonksiyonlar\u0131n ters fonksiyon ili\u015fkisine ait \u00f6nermeleri matematiksel olarak do\u011frulanabilecek \u015fekilde sunar.\"}, {\"id\": \"13326\", \"name\": \"Referans fonksiyonlar ve bunlardan t\u00fcretilen fonksiyonlar\u0131n ters fonksiyonlar\u0131na ait elde edilen \u00f6nermeleri fonksiyonlar\u0131n genel \u00f6zellikleri ba\u011flam\u0131nda de\u011ferlendirir.\"}], \"order_number\": \"2\", \"b_question_answer\": null, \"b_question_number\": null}, {\"id\": \"1158057\", \"diff\": \"5\", \"name\": \"Soru\", \"type\": \"fernus\", \"image\": \"https://limit.frns.in/uploads/assets/questions/152275/2da9919620a29a4e6110c7ea01c71c33.png\", \"answer\": \"A\", \"solved\": \"https://limit.frns.in/soru_cozum/web_player/?mp3=https://limit.frns.in/uploads/assets/solution/cozum_1158057_07_19_2025_19_58_15.mp3&pdf=https://limit.frns.in/uploads/assets/questions/152275/2da9919620a29a4e6110c7ea01c71c33.pdf&swf=https://limit.frns.in/uploads/assets/questions/152275/2da9919620a29a4e6110c7ea01c71c33.swf&xaml=https://limit.frns.in/uploads/assets/solution/cozum_1158057_07_19_2025_19_58_15.xaml\", \"subjects\": [{\"id\": \"13327\", \"name\": \"Bu fonksiyonlarla ifade edilebilen denklem ve e\u015fitsizliklere ili\u015fkin matematiksel bile\u015fenleri (nitel \u00f6zellikleri ile cebirsel ve grafik temsilleri) belirler.\"}, {\"id\": \"13328\", \"name\": \"Bu fonksiyonlarla ifade edilebilen denklem ve e\u015fitsizliklere ili\u015fkin matematiksel bile\u015fenlerin aralar\u0131ndaki ili\u015fkileri belirler.\"}, {\"id\": \"13329\", \"name\": \"Bu fonksiyonlarla ifade edilebilen denklem ve e\u015fitsizliklerin problem ba\u011flam\u0131ndaki temsillerini farkl\u0131 temsillere d\u00f6n\u00fc\u015ft\u00fcr\u00fcr.\"}, {\"id\": \"13330\", \"name\": \"D\u00f6n\u00fc\u015ft\u00fcrd\u00fc\u011f\u00fc temsillerin problem ba\u011flam\u0131ndaki anlam\u0131n\u0131 ifade eder.\"}, {\"id\": \"13331\", \"name\": \"Elde etti\u011fi ve yorumlad\u0131\u011f\u0131 farkl\u0131 temsillerden yararlanarak problemin \u00e7\u00f6z\u00fcm\u00fc i\u00e7in strateji olu\u015fturur.\"}, {\"id\": \"13332\", \"name\": \"Belirledi\u011fi stratejiyi kullan\u0131r.\"}, {\"id\": \"13333\", \"name\": \"Elde etti\u011fi \u00e7\u00f6z\u00fcm\u00fc farkl\u0131 y\u00f6ntemleri kullanarak do\u011frular.\"}, {\"id\": \"13334\", \"name\": \"Problemin olas\u0131 \u00e7\u00f6z\u00fcm stratejilerini g\u00f6zden ge\u00e7irir.\"}, {\"id\": \"13335\", \"name\": \"Problemin olas\u0131 \u00e7\u00f6z\u00fcm stratejilerinin farkl\u0131 problem durumlar\u0131nda kullan\u0131m\u0131 ile ilgili \u00e7\u0131kar\u0131mlar yapar.\"}, {\"id\": \"13336\", \"name\": \"\u00c7\u0131kar\u0131mlar\u0131n\u0131n ge\u00e7erlili\u011fini s\u00f6zel, cebirsel ve grafiksel arg\u00fcmanlarla de\u011ferlendirir.\"}], \"order_number\": \"3\", \"b_question_answer\": null, \"b_question_number\": null}, {\"id\": \"1158058\", \"diff\": \"5\", \"name\": \"Soru\", \"type\": \"fernus\", \"image\": \"https://limit.frns.in/uploads/assets/questions/152275/27656dce2382d8f4c8d2c63bb8318e95.png\", \"answer\": \"E\", \"solved\": \"https://limit.frns.in/soru_cozum/web_player/?mp3=https://limit.frns.in/uploads/assets/solution/cozum_1158058_07_19_2025_19_51_38.mp3&pdf=https://limit.frns.in/uploads/assets/questions/152275/27656dce2382d8f4c8d2c63bb8318e95.pdf&swf=https://limit.frns.in/uploads/assets/questions/152275/27656dce2382d8f4c8d2c63bb8318e95.swf&xaml=https://limit.frns.in/uploads/assets/solution/cozum_1158058_07_19_2025_19_51_38.xaml\", \"subjects\": [{\"id\": \"13285\", \"name\": \"Ger\u00e7ek say\u0131larda fonksiyon olma \u015fartlar\u0131 ile ger\u00e7ek say\u0131larda tan\u0131ml\u0131 fonksiyonlar\u0131n nitel \u00f6zelliklerini (tan\u0131m k\u00fcmesi, g\u00f6r\u00fcnt\u00fc k\u00fcmesi, i\u015fareti, artanl\u0131\u011f\u0131-azalanl\u0131\u011f\u0131, maksimum-minimum noktalar\u0131, s\u0131f\u0131rlar\u0131, bire birli\u011fi, tekli\u011fi-\u00e7iftli\u011fi, \u00f6rtenli\u011fi) grafik\"}, {\"id\": \"13286\", \"name\": \"Ger\u00e7ek say\u0131larda tan\u0131ml\u0131 fonksiyonlar\u0131n grafik ve cebirsel temsillerini fonksiyon olma \u015fartlar\u0131 ve fonksiyonlar\u0131n nitel \u00f6zellikleri bak\u0131m\u0131ndan kar\u015f\u0131la\u015ft\u0131r\u0131r.\"}, {\"id\": \"13287\", \"name\": \"Kar\u015f\u0131la\u015ft\u0131rmalar\u0131ndan hareketle ger\u00e7ek say\u0131larda tan\u0131ml\u0131 fonksiyonlar\u0131n grafik ve cebirsel temsilleri ile nitel \u00f6zellikleri hakk\u0131nda yarg\u0131da bulunur.\"}, {\"id\": \"13310\", \"name\": \"Rasyonel referans fonksiyonun nitel \u00f6zelliklerini (tan\u0131m k\u00fcmesi, g\u00f6r\u00fcnt\u00fc k\u00fcmesi, i\u015fareti, artanl\u0131\u011f\u0131-azalanl\u0131\u011f\u0131, maksimum-minimum noktalar\u0131, s\u0131f\u0131rlar\u0131, bire birli\u011fi, tekli\u011fi-\u00e7iftli\u011fi, \u00f6rtenli\u011fi) matematiksel temsilleri kullanarak belirler.\"}, {\"id\": \"13311\", \"name\": \"Rasyonel referans fonksiyonun nitel \u00f6zellikleri ile matematiksel temsilleri aras\u0131ndaki ili\u015fkileri belirler.\"}, {\"id\": \"13312\", \"name\": \"Rasyonel referans fonksiyonu grafik ve cebirsel temsili \u00fczerinde yap\u0131lan i\u015flemlerle di\u011fer rasyonel fonksiyonlara d\u00f6n\u00fc\u015ft\u00fcr\u00fcr.\"}, {\"id\": \"13313\", \"name\": \"Rasyonel referans fonksiyon ile elde etti\u011fi rasyonel fonksiyonlar\u0131n grafik ve cebirsel temsilleri aras\u0131ndaki ili\u015fkiyi ifade eder.\"}, {\"id\": \"13314\", \"name\": \"Rasyonel referans fonksiyonun nitel \u00f6zelliklerinden hareketle di\u011fer rasyonel fonksiyonlar\u0131n nitel \u00f6zellikleri hakk\u0131nda varsay\u0131mlarda bulunur.\"}, {\"id\": \"13315\", \"name\": \"Varsay\u0131mlar\u0131na dayal\u0131 olarak rasyonel fonksiyonlar\u0131n nitel \u00f6zelliklerine ili\u015fkin \u00f6r\u00fcnt\u00fcleri (cebirsel, say\u0131sal veya grafiksel) geneller.\"}, {\"id\": \"13316\", \"name\": \"Genellemelerinin varsay\u0131mlar\u0131n\u0131 kar\u015f\u0131lay\u0131p kar\u015f\u0131lamad\u0131\u011f\u0131n\u0131 kontrol eder.\"}, {\"id\": \"13327\", \"name\": \"Bu fonksiyonlarla ifade edilebilen denklem ve e\u015fitsizliklere ili\u015fkin matematiksel bile\u015fenleri (nitel \u00f6zellikleri ile cebirsel ve grafik temsilleri) belirler.\"}, {\"id\": \"13328\", \"name\": \"Bu fonksiyonlarla ifade edilebilen denklem ve e\u015fitsizliklere ili\u015fkin matematiksel bile\u015fenlerin aralar\u0131ndaki ili\u015fkileri belirler.\"}, {\"id\": \"13329\", \"name\": \"Bu fonksiyonlarla ifade edilebilen denklem ve e\u015fitsizliklerin problem ba\u011flam\u0131ndaki temsillerini farkl\u0131 temsillere d\u00f6n\u00fc\u015ft\u00fcr\u00fcr.\"}, {\"id\": \"13330\", \"name\": \"D\u00f6n\u00fc\u015ft\u00fcrd\u00fc\u011f\u00fc temsillerin problem ba\u011flam\u0131ndaki anlam\u0131n\u0131 ifade eder.\"}, {\"id\": \"13331\", \"name\": \"Elde etti\u011fi ve yorumlad\u0131\u011f\u0131 farkl\u0131 temsillerden yararlanarak problemin \u00e7\u00f6z\u00fcm\u00fc i\u00e7in strateji olu\u015fturur.\"}, {\"id\": \"13332\", \"name\": \"Belirledi\u011fi stratejiyi kullan\u0131r.\"}, {\"id\": \"13333\", \"name\": \"Elde etti\u011fi \u00e7\u00f6z\u00fcm\u00fc farkl\u0131 y\u00f6ntemleri kullanarak do\u011frular.\"}, {\"id\": \"13334\", \"name\": \"Problemin olas\u0131 \u00e7\u00f6z\u00fcm stratejilerini g\u00f6zden ge\u00e7irir.\"}, {\"id\": \"13335\", \"name\": \"Problemin olas\u0131 \u00e7\u00f6z\u00fcm stratejilerinin farkl\u0131 problem durumlar\u0131nda kullan\u0131m\u0131 ile ilgili \u00e7\u0131kar\u0131mlar yapar.\"}, {\"id\": \"13336\", \"name\": \"\u00c7\u0131kar\u0131mlar\u0131n\u0131n ge\u00e7erlili\u011fini s\u00f6zel, cebirsel ve grafiksel arg\u00fcmanlarla de\u011ferlendirir.\"}], \"order_number\": \"4\", \"b_question_answer\": null, \"b_question_number\": null}, {\"id\": \"1158059\", \"diff\": \"5\", \"name\": \"Soru\", \"type\": \"fernus\", \"image\": \"https://limit.frns.in/uploads/assets/questions/152275/353385d47235ec48dae2bd344e41d850.png\", \"answer\": \"B\", \"solved\": \"https://limit.frns.in/soru_cozum/web_player/?mp3=https://limit.frns.in/uploads/assets/solution/cozum_1158059_07_19_2025_20_02_00.mp3&pdf=https://limit.frns.in/uploads/assets/questions/152275/353385d47235ec48dae2bd344e41d850.pdf&swf=https://limit.frns.in/uploads/assets/questions/152275/353385d47235ec48dae2bd344e41d850.swf&xaml=https://limit.frns.in/uploads/assets/solution/cozum_1158059_07_19_2025_20_02_00.xaml\", \"subjects\": [{\"id\": \"13327\", \"name\": \"Bu fonksiyonlarla ifade edilebilen denklem ve e\u015fitsizliklere ili\u015fkin matematiksel bile\u015fenleri (nitel \u00f6zellikleri ile cebirsel ve grafik temsilleri) belirler.\"}, {\"id\": \"13328\", \"name\": \"Bu fonksiyonlarla ifade edilebilen denklem ve e\u015fitsizliklere ili\u015fkin matematiksel bile\u015fenlerin aralar\u0131ndaki ili\u015fkileri belirler.\"}, {\"id\": \"13329\", \"name\": \"Bu fonksiyonlarla ifade edilebilen denklem ve e\u015fitsizliklerin problem ba\u011flam\u0131ndaki temsillerini farkl\u0131 temsillere d\u00f6n\u00fc\u015ft\u00fcr\u00fcr.\"}, {\"id\": \"13330\", \"name\": \"D\u00f6n\u00fc\u015ft\u00fcrd\u00fc\u011f\u00fc temsillerin problem ba\u011flam\u0131ndaki anlam\u0131n\u0131 ifade eder.\"}, {\"id\": \"13331\", \"name\": \"Elde etti\u011fi ve yorumlad\u0131\u011f\u0131 farkl\u0131 temsillerden yararlanarak problemin \u00e7\u00f6z\u00fcm\u00fc i\u00e7in strateji olu\u015fturur.\"}, {\"id\": \"13332\", \"name\": \"Belirledi\u011fi stratejiyi kullan\u0131r.\"}, {\"id\": \"13333\", \"name\": \"Elde etti\u011fi \u00e7\u00f6z\u00fcm\u00fc farkl\u0131 y\u00f6ntemleri kullanarak do\u011frular.\"}, {\"id\": \"13334\", \"name\": \"Problemin olas\u0131 \u00e7\u00f6z\u00fcm stratejilerini g\u00f6zden ge\u00e7irir.\"}, {\"id\": \"13335\", \"name\": \"Problemin olas\u0131 \u00e7\u00f6z\u00fcm stratejilerinin farkl\u0131 problem durumlar\u0131nda kullan\u0131m\u0131 ile ilgili \u00e7\u0131kar\u0131mlar yapar.\"}, {\"id\": \"13336\", \"name\": \"\u00c7\u0131kar\u0131mlar\u0131n\u0131n ge\u00e7erlili\u011fini s\u00f6zel, cebirsel ve grafiksel arg\u00fcmanlarla de\u011ferlendirir.\"}], \"order_number\": \"5\", \"b_question_answer\": null, \"b_question_number\": null}, {\"id\": \"1158060\", \"diff\": \"5\", \"name\": \"Soru\", \"type\": \"fernus\", \"image\": \"https://limit.frns.in/uploads/assets/questions/152275/1eebfd383274046aa2e99f08bcf7c67b.png\", \"answer\": \"D\", \"solved\": \"https://limit.frns.in/soru_cozum/web_player/?mp3=https://limit.frns.in/uploads/assets/solution/cozum_1158060_07_19_2025_19_55_05.mp3&pdf=https://limit.frns.in/uploads/assets/questions/152275/1eebfd383274046aa2e99f08bcf7c67b.pdf&swf=https://limit.frns.in/uploads/assets/questions/152275/1eebfd383274046aa2e99f08bcf7c67b.swf&xaml=https://limit.frns.in/uploads/assets/solution/cozum_1158060_07_19_2025_19_55_05.xaml\", \"subjects\": [{\"id\": \"13327\", \"name\": \"Bu fonksiyonlarla ifade edilebilen denklem ve e\u015fitsizliklere ili\u015fkin matematiksel bile\u015fenleri (nitel \u00f6zellikleri ile cebirsel ve grafik temsilleri) belirler.\"}, {\"id\": \"13328\", \"name\": \"Bu fonksiyonlarla ifade edilebilen denklem ve e\u015fitsizliklere ili\u015fkin matematiksel bile\u015fenlerin aralar\u0131ndaki ili\u015fkileri belirler.\"}, {\"id\": \"13329\", \"name\": \"Bu fonksiyonlarla ifade edilebilen denklem ve e\u015fitsizliklerin problem ba\u011flam\u0131ndaki temsillerini farkl\u0131 temsillere d\u00f6n\u00fc\u015ft\u00fcr\u00fcr.\"}, {\"id\": \"13330\", \"name\": \"D\u00f6n\u00fc\u015ft\u00fcrd\u00fc\u011f\u00fc temsillerin problem ba\u011flam\u0131ndaki anlam\u0131n\u0131 ifade eder.\"}, {\"id\": \"13331\", \"name\": \"Elde etti\u011fi ve yorumlad\u0131\u011f\u0131 farkl\u0131 temsillerden yararlanarak problemin \u00e7\u00f6z\u00fcm\u00fc i\u00e7in strateji olu\u015fturur.\"}, {\"id\": \"13332\", \"name\": \"Belirledi\u011fi stratejiyi kullan\u0131r.\"}, {\"id\": \"13333\", \"name\": \"Elde etti\u011fi \u00e7\u00f6z\u00fcm\u00fc farkl\u0131 y\u00f6ntemleri kullanarak do\u011frular.\"}, {\"id\": \"13334\", \"name\": \"Problemin olas\u0131 \u00e7\u00f6z\u00fcm stratejilerini g\u00f6zden ge\u00e7irir.\"}, {\"id\": \"13335\", \"name\": \"Problemin olas\u0131 \u00e7\u00f6z\u00fcm stratejilerinin farkl\u0131 problem durumlar\u0131nda kullan\u0131m\u0131 ile ilgili \u00e7\u0131kar\u0131mlar yapar.\"}, {\"id\": \"13336\", \"name\": \"\u00c7\u0131kar\u0131mlar\u0131n\u0131n ge\u00e7erlili\u011fini s\u00f6zel, cebirsel ve grafiksel arg\u00fcmanlarla de\u011ferlendirir.\"}], \"order_number\": \"6\", \"b_question_answer\": null, \"b_question_number\": null}, {\"id\": \"1158061\", \"diff\": \"5\", \"name\": \"Soru\", \"type\": \"fernus\", \"image\": \"https://limit.frns.in/uploads/assets/questions/152275/22d5c86358527485afbf73f3efcb746d.png\", \"answer\": \"C\", \"solved\": \"https://limit.frns.in/soru_cozum/web_player/?mp3=https://limit.frns.in/uploads/assets/solution/cozum_1158061_07_19_2025_20_14_48.mp3&pdf=https://limit.frns.in/uploads/assets/questions/152275/22d5c86358527485afbf73f3efcb746d.pdf&swf=https://limit.frns.in/uploads/assets/questions/152275/22d5c86358527485afbf73f3efcb746d.swf&xaml=https://limit.frns.in/uploads/assets/solution/cozum_1158061_07_19_2025_20_14_48.xaml\", \"subjects\": [{\"id\": \"13321\", \"name\": \"Referans fonksiyonlar ve bunlardan t\u00fcretilebilen fonksiyonlar \u00fczerinden bir fonksiyonun ters fonksiyonuna ili\u015fkin varsay\u0131mlarda bulunur.\"}, {\"id\": \"13322\", \"name\": \"Varsay\u0131mlar\u0131ndan yararlan\u0131p farkl\u0131 durumlarla ilgili \u00f6r\u00fcnt\u00fcleri listeleyerek referans\"}, {\"id\": \"13323\", \"name\": \"ksiyonlar ve bunlardan t\u00fcretilen fonksiyonlar\u0131n ters fonksiyonlar\u0131na ili\u015fkin genellemeler yapar.\"}, {\"id\": \"13324\", \"name\": \"Referans fonksiyonlar ve bunlardan t\u00fcretilen fonksiyonlar\u0131n ters fonksiyonlar\u0131yla ili\u015fkisine dair varsay\u0131mlar\u0131 ile genellemelerini kar\u015f\u0131la\u015ft\u0131r\u0131r.\"}, {\"id\": \"13325\", \"name\": \"Referans fonksiyonlar ve bunlardan t\u00fcretilen fonksiyonlar\u0131n ters fonksiyon ili\u015fkisine ait \u00f6nermeleri matematiksel olarak do\u011frulanabilecek \u015fekilde sunar.\"}, {\"id\": \"13326\", \"name\": \"Referans fonksiyonlar ve bunlardan t\u00fcretilen fonksiyonlar\u0131n ters fonksiyonlar\u0131na ait elde edilen \u00f6nermeleri fonksiyonlar\u0131n genel \u00f6zellikleri ba\u011flam\u0131nda de\u011ferlendirir.\"}], \"order_number\": \"7\", \"b_question_answer\": null, \"b_question_number\": null}, {\"id\": \"1158062\", \"diff\": \"5\", \"name\": \"Soru\", \"type\": \"fernus\", \"image\": \"https://limit.frns.in/uploads/assets/questions/152275/38606849cd209b3d98481fa0d0ef60de.png\", \"answer\": \"E\", \"solved\": \"https://limit.frns.in/soru_cozum/web_player/?mp3=https://limit.frns.in/uploads/assets/solution/cozum_1158062_07_19_2025_20_10_34.mp3&pdf=https://limit.frns.in/uploads/assets/questions/152275/38606849cd209b3d98481fa0d0ef60de.pdf&swf=https://limit.frns.in/uploads/assets/questions/152275/38606849cd209b3d98481fa0d0ef60de.swf&xaml=https://limit.frns.in/uploads/assets/solution/cozum_1158062_07_19_2025_20_10_34.xaml\", \"subjects\": [{\"id\": \"13321\", \"name\": \"Referans fonksiyonlar ve bunlardan t\u00fcretilebilen fonksiyonlar \u00fczerinden bir fonksiyonun ters fonksiyonuna ili\u015fkin varsay\u0131mlarda bulunur.\"}, {\"id\": \"13322\", \"name\": \"Varsay\u0131mlar\u0131ndan yararlan\u0131p farkl\u0131 durumlarla ilgili \u00f6r\u00fcnt\u00fcleri listeleyerek referans\"}, {\"id\": \"13323\", \"name\": \"ksiyonlar ve bunlardan t\u00fcretilen fonksiyonlar\u0131n ters fonksiyonlar\u0131na ili\u015fkin genellemeler yapar.\"}, {\"id\": \"13324\", \"name\": \"Referans fonksiyonlar ve bunlardan t\u00fcretilen fonksiyonlar\u0131n ters fonksiyonlar\u0131yla ili\u015fkisine dair varsay\u0131mlar\u0131 ile genellemelerini kar\u015f\u0131la\u015ft\u0131r\u0131r.\"}, {\"id\": \"13325\", \"name\": \"Referans fonksiyonlar ve bunlardan t\u00fcretilen fonksiyonlar\u0131n ters fonksiyon ili\u015fkisine ait \u00f6nermeleri matematiksel olarak do\u011frulanabilecek \u015fekilde sunar.\"}, {\"id\": \"13326\", \"name\": \"Referans fonksiyonlar ve bunlardan t\u00fcretilen fonksiyonlar\u0131n ters fonksiyonlar\u0131na ait elde edilen \u00f6nermeleri fonksiyonlar\u0131n genel \u00f6zellikleri ba\u011flam\u0131nda de\u011ferlendirir.\"}, {\"id\": \"13327\", \"name\": \"Bu fonksiyonlarla ifade edilebilen denklem ve e\u015fitsizliklere ili\u015fkin matematiksel bile\u015fenleri (nitel \u00f6zellikleri ile cebirsel ve grafik temsilleri) belirler.\"}, {\"id\": \"13328\", \"name\": \"Bu fonksiyonlarla ifade edilebilen denklem ve e\u015fitsizliklere ili\u015fkin matematiksel bile\u015fenlerin aralar\u0131ndaki ili\u015fkileri belirler.\"}, {\"id\": \"13329\", \"name\": \"Bu fonksiyonlarla ifade edilebilen denklem ve e\u015fitsizliklerin problem ba\u011flam\u0131ndaki temsillerini farkl\u0131 temsillere d\u00f6n\u00fc\u015ft\u00fcr\u00fcr.\"}, {\"id\": \"13330\", \"name\": \"D\u00f6n\u00fc\u015ft\u00fcrd\u00fc\u011f\u00fc temsillerin problem ba\u011flam\u0131ndaki anlam\u0131n\u0131 ifade eder.\"}, {\"id\": \"13331\", \"name\": \"Elde etti\u011fi ve yorumlad\u0131\u011f\u0131 farkl\u0131 temsillerden yararlanarak problemin \u00e7\u00f6z\u00fcm\u00fc i\u00e7in strateji olu\u015fturur.\"}, {\"id\": \"13332\", \"name\": \"Belirledi\u011fi stratejiyi kullan\u0131r.\"}, {\"id\": \"13333\", \"name\": \"Elde etti\u011fi \u00e7\u00f6z\u00fcm\u00fc farkl\u0131 y\u00f6ntemleri kullanarak do\u011frular.\"}, {\"id\": \"13334\", \"name\": \"Problemin olas\u0131 \u00e7\u00f6z\u00fcm stratejilerini g\u00f6zden ge\u00e7irir.\"}, {\"id\": \"13335\", \"name\": \"Problemin olas\u0131 \u00e7\u00f6z\u00fcm stratejilerinin farkl\u0131 problem durumlar\u0131nda kullan\u0131m\u0131 ile ilgili \u00e7\u0131kar\u0131mlar yapar.\"}, {\"id\": \"13336\", \"name\": \"\u00c7\u0131kar\u0131mlar\u0131n\u0131n ge\u00e7erlili\u011fini s\u00f6zel, cebirsel ve grafiksel arg\u00fcmanlarla de\u011ferlendirir.\"}], \"order_number\": \"8\", \"b_question_answer\": null, \"b_question_number\": null}, {\"id\": \"1158063\", \"diff\": \"5\", \"name\": \"Soru\", \"type\": \"fernus\", \"image\": \"https://limit.frns.in/uploads/assets/questions/152275/dafd85a3a23110fe59a79a65d4467d2c.png\", \"answer\": \"E\", \"solved\": \"https://limit.frns.in/soru_cozum/web_player/?mp3=https://limit.frns.in/uploads/assets/solution/cozum_1158063_07_19_2025_19_34_09.mp3&pdf=https://limit.frns.in/uploads/assets/questions/152275/dafd85a3a23110fe59a79a65d4467d2c.pdf&swf=https://limit.frns.in/uploads/assets/questions/152275/dafd85a3a23110fe59a79a65d4467d2c.swf&xaml=https://limit.frns.in/uploads/assets/solution/cozum_1158063_07_19_2025_19_34_09.xaml\", \"subjects\": [{\"id\": \"13321\", \"name\": \"Referans fonksiyonlar ve bunlardan t\u00fcretilebilen fonksiyonlar \u00fczerinden bir fonksiyonun ters fonksiyonuna ili\u015fkin varsay\u0131mlarda bulunur.\"}, {\"id\": \"13322\", \"name\": \"Varsay\u0131mlar\u0131ndan yararlan\u0131p farkl\u0131 durumlarla ilgili \u00f6r\u00fcnt\u00fcleri listeleyerek referans\"}, {\"id\": \"13323\", \"name\": \"ksiyonlar ve bunlardan t\u00fcretilen fonksiyonlar\u0131n ters fonksiyonlar\u0131na ili\u015fkin genellemeler yapar.\"}, {\"id\": \"13324\", \"name\": \"Referans fonksiyonlar ve bunlardan t\u00fcretilen fonksiyonlar\u0131n ters fonksiyonlar\u0131yla ili\u015fkisine dair varsay\u0131mlar\u0131 ile genellemelerini kar\u015f\u0131la\u015ft\u0131r\u0131r.\"}, {\"id\": \"13325\", \"name\": \"Referans fonksiyonlar ve bunlardan t\u00fcretilen fonksiyonlar\u0131n ters fonksiyon ili\u015fkisine ait \u00f6nermeleri matematiksel olarak do\u011frulanabilecek \u015fekilde sunar.\"}, {\"id\": \"13326\", \"name\": \"Referans fonksiyonlar ve bunlardan t\u00fcretilen fonksiyonlar\u0131n ters fonksiyonlar\u0131na ait elde edilen \u00f6nermeleri fonksiyonlar\u0131n genel \u00f6zellikleri ba\u011flam\u0131nda de\u011ferlendirir.\"}], \"order_number\": \"9\", \"b_question_answer\": null, \"b_question_number\": null}]}","updated_at":"Fri, 12 Sep 2025 14:00:55 GMT"},"questions":[{"achievement":null,"answers":"ACAEBDCEE","book":"2025-2026 | Limit | 10.S\u0131n\u0131f | Matematik | Yaprak Test","created_at":"Fri, 12 Sep 2025 14:00:55 GMT","id":1058692,"level":"10.S\u0131n\u0131f","node_id":152300,"path":"Limit Yay\u0131nlar\u0131 2025-2026 D\u00f6nemi/Limit Yay\u0131nlar\u0131 10. S\u0131n\u0131f Yay\u0131nlar\u0131m\u0131z/Limit Yay\u0131nlar\u0131 10.S\u0131n\u0131f Yaprak Testler/Limit Yay\u0131nlar\u0131 10. S\u0131n\u0131f Matematik Yaprak Test/Test-30","question_answer":"A","question_id":"1158055","question_image":"https://limit.frns.in/uploads/assets/questions/152275/9e52abb5a94e7a76e8f91f72bda93d38.png","question_order":1,"question_type":"fernus","raw_question_data":"{\"id\": \"1158055\", \"diff\": \"5\", \"name\": \"Soru\", \"type\": \"fernus\", \"image\": \"https://limit.frns.in/uploads/assets/questions/152275/9e52abb5a94e7a76e8f91f72bda93d38.png\", \"answer\": \"A\", \"solved\": \"https://limit.frns.in/soru_cozum/web_player/?mp3=https://limit.frns.in/uploads/assets/solution/cozum_1158055_07_20_2025_09_45_56.mp3&pdf=https://limit.frns.in/uploads/assets/questions/152275/9e52abb5a94e7a76e8f91f72bda93d38.pdf&swf=https://limit.frns.in/uploads/assets/questions/152275/9e52abb5a94e7a76e8f91f72bda93d38.swf&xaml=https://limit.frns.in/uploads/assets/solution/cozum_1158055_07_20_2025_09_45_56.xaml\", \"subjects\": [{\"id\": \"13312\", \"name\": \"Rasyonel referans fonksiyonu grafik ve cebirsel temsili \u00fczerinde yap\u0131lan i\u015flemlerle di\u011fer rasyonel fonksiyonlara d\u00f6n\u00fc\u015ft\u00fcr\u00fcr.\"}, {\"id\": \"13313\", \"name\": \"Rasyonel referans fonksiyon ile elde etti\u011fi rasyonel fonksiyonlar\u0131n grafik ve cebirsel temsilleri aras\u0131ndaki ili\u015fkiyi ifade eder.\"}, {\"id\": \"13314\", \"name\": \"Rasyonel referans fonksiyonun nitel \u00f6zelliklerinden hareketle di\u011fer rasyonel fonksiyonlar\u0131n nitel \u00f6zellikleri hakk\u0131nda varsay\u0131mlarda bulunur.\"}, {\"id\": \"13315\", \"name\": \"Varsay\u0131mlar\u0131na dayal\u0131 olarak rasyonel fonksiyonlar\u0131n nitel \u00f6zelliklerine ili\u015fkin \u00f6r\u00fcnt\u00fcleri (cebirsel, say\u0131sal veya grafiksel) geneller.\"}, {\"id\": \"13316\", \"name\": \"Genellemelerinin varsay\u0131mlar\u0131n\u0131 kar\u015f\u0131lay\u0131p kar\u015f\u0131lamad\u0131\u011f\u0131n\u0131 kontrol eder.\"}, {\"id\": \"13317\", \"name\": \"Genellemelerinden elde etti\u011fi \u00f6nermeleri uygun s\u00f6zel veya cebirsel dil ile sunar.\"}, {\"id\": \"13318\", \"name\": \"Elde etti\u011fi \u00f6nermelerin ger\u00e7ek ya\u015fam ba\u011flamlar\u0131ndaki kullan\u0131\u015fl\u0131l\u0131\u011f\u0131n\u0131 de\u011ferlendirir.\"}, {\"id\": \"13319\", \"name\": \"\u00d6nermelerini grafiksel olarak do\u011frular veya cebirsel olarak ispatlar.\"}, {\"id\": \"13320\", \"name\": \"\u0130\u015fe ko\u015ftu\u011fu do\u011frulama veya ispat y\u00f6ntemlerinin farkl\u0131 durumlardaki kullan\u0131\u015fl\u0131l\u0131\u011f\u0131n\u0131 de\u011ferlendirir.\"}, {\"id\": \"13327\", \"name\": \"Bu fonksiyonlarla ifade edilebilen denklem ve e\u015fitsizliklere ili\u015fkin matematiksel bile\u015fenleri (nitel \u00f6zellikleri ile cebirsel ve grafik temsilleri) belirler.\"}, {\"id\": \"13328\", \"name\": \"Bu fonksiyonlarla ifade edilebilen denklem ve e\u015fitsizliklere ili\u015fkin matematiksel bile\u015fenlerin aralar\u0131ndaki ili\u015fkileri belirler.\"}, {\"id\": \"13329\", \"name\": \"Bu fonksiyonlarla ifade edilebilen denklem ve e\u015fitsizliklerin problem ba\u011flam\u0131ndaki temsillerini farkl\u0131 temsillere d\u00f6n\u00fc\u015ft\u00fcr\u00fcr.\"}, {\"id\": \"13330\", \"name\": \"D\u00f6n\u00fc\u015ft\u00fcrd\u00fc\u011f\u00fc temsillerin problem ba\u011flam\u0131ndaki anlam\u0131n\u0131 ifade eder.\"}, {\"id\": \"13331\", \"name\": \"Elde etti\u011fi ve yorumlad\u0131\u011f\u0131 farkl\u0131 temsillerden yararlanarak problemin \u00e7\u00f6z\u00fcm\u00fc i\u00e7in strateji olu\u015fturur.\"}, {\"id\": \"13332\", \"name\": \"Belirledi\u011fi stratejiyi kullan\u0131r.\"}, {\"id\": \"13333\", \"name\": \"Elde etti\u011fi \u00e7\u00f6z\u00fcm\u00fc farkl\u0131 y\u00f6ntemleri kullanarak do\u011frular.\"}, {\"id\": \"13334\", \"name\": \"Problemin olas\u0131 \u00e7\u00f6z\u00fcm stratejilerini g\u00f6zden ge\u00e7irir.\"}, {\"id\": \"13335\", \"name\": \"Problemin olas\u0131 \u00e7\u00f6z\u00fcm stratejilerinin farkl\u0131 problem durumlar\u0131nda kullan\u0131m\u0131 ile ilgili \u00e7\u0131kar\u0131mlar yapar.\"}, {\"id\": \"13336\", \"name\": \"\u00c7\u0131kar\u0131mlar\u0131n\u0131n ge\u00e7erlili\u011fini s\u00f6zel, cebirsel ve grafiksel arg\u00fcmanlarla de\u011ferlendirir.\"}, {\"id\": \"13285\", \"name\": \"Ger\u00e7ek say\u0131larda fonksiyon olma \u015fartlar\u0131 ile ger\u00e7ek say\u0131larda tan\u0131ml\u0131 fonksiyonlar\u0131n nitel \u00f6zelliklerini (tan\u0131m k\u00fcmesi, g\u00f6r\u00fcnt\u00fc k\u00fcmesi, i\u015fareti, artanl\u0131\u011f\u0131-azalanl\u0131\u011f\u0131, maksimum-minimum noktalar\u0131, s\u0131f\u0131rlar\u0131, bire birli\u011fi, tekli\u011fi-\u00e7iftli\u011fi, \u00f6rtenli\u011fi) grafik\"}, {\"id\": \"13286\", \"name\": \"Ger\u00e7ek say\u0131larda tan\u0131ml\u0131 fonksiyonlar\u0131n grafik ve cebirsel temsillerini fonksiyon olma \u015fartlar\u0131 ve fonksiyonlar\u0131n nitel \u00f6zellikleri bak\u0131m\u0131ndan kar\u015f\u0131la\u015ft\u0131r\u0131r.\"}, {\"id\": \"13287\", \"name\": \"Kar\u015f\u0131la\u015ft\u0131rmalar\u0131ndan hareketle ger\u00e7ek say\u0131larda tan\u0131ml\u0131 fonksiyonlar\u0131n grafik ve cebirsel temsilleri ile nitel \u00f6zellikleri hakk\u0131nda yarg\u0131da bulunur.\"}, {\"id\": \"13288\", \"name\": \"Karesel referans fonksiyonun nitel \u00f6zelliklerini (tan\u0131m k\u00fcmesi, g\u00f6r\u00fcnt\u00fc k\u00fcmesi, i\u015fareti, artanl\u0131\u011f\u0131-azalanl\u0131\u011f\u0131, maksimum-minimum noktalar\u0131, s\u0131f\u0131rlar\u0131, bire birli\u011fi, tekli\u011fi-\u00e7iftli\u011fi, \u00f6rtenli\u011fi) matematiksel temsilleri kullanarak belirler.\"}, {\"id\": \"13289\", \"name\": \"Karesel referans fonksiyonun nitel \u00f6zellikleri ile matematiksel temsilleri aras\u0131ndaki ili\u015fkileri belirler.\"}, {\"id\": \"13290\", \"name\": \"Karesel referans fonksiyonu grafik ve cebirsel temsili \u00fczerinde yap\u0131lan i\u015flemlerle di\u011fer karesel fonksiyonlara d\u00f6n\u00fc\u015ft\u00fcr\u00fcr.\"}, {\"id\": \"13291\", \"name\": \"Karesel referans fonksiyon ile elde etti\u011fi karesel fonksiyonlar\u0131n grafik ve cebirsel temsilleri aras\u0131ndaki ili\u015fkiyi ifade eder.\"}, {\"id\": \"13292\", \"name\": \"Karesel referans fonksiyonun nitel \u00f6zelliklerinden hareketle di\u011fer karesel fonksiyonlar\u0131n nitel \u00f6zellikleri hakk\u0131nda varsay\u0131mlarda bulunur.\"}, {\"id\": \"13293\", \"name\": \"Varsay\u0131mlar\u0131na dayal\u0131 olarak karesel fonksiyonlar\u0131n nitel \u00f6zelliklerine ili\u015fkin \u00f6r\u00fcnt\u00fcleri (cebirsel, say\u0131sal veya grafiksel) geneller.\"}, {\"id\": \"13294\", \"name\": \"Genellemelerinin varsay\u0131mlar\u0131n\u0131 kar\u015f\u0131lay\u0131p kar\u015f\u0131lamad\u0131\u011f\u0131n\u0131 kontrol eder.\"}, {\"id\": \"13295\", \"name\": \"Genellemelerinden elde etti\u011fi \u00f6nermeleri uygun s\u00f6zel veya cebirsel dil ile sunar.\"}, {\"id\": \"13296\", \"name\": \"Elde etti\u011fi \u00f6nermelerin ger\u00e7ek ya\u015fam ba\u011flamlar\u0131ndaki kullan\u0131\u015fl\u0131l\u0131\u011f\u0131n\u0131 de\u011ferlendirir.\"}, {\"id\": \"13297\", \"name\": \"\u00d6nermelerini grafiksel olarak do\u011frular veya cebirsel olarak ispatlar.\"}, {\"id\": \"13298\", \"name\": \"\u0130\u015fe ko\u015ftu\u011fu do\u011frulama veya ispat y\u00f6ntemlerinin farkl\u0131 durumlardaki kullan\u0131\u015fl\u0131l\u0131\u011f\u0131n\u0131 de\u011ferlendirir.\"}, {\"id\": \"13310\", \"name\": \"Rasyonel referans fonksiyonun nitel \u00f6zelliklerini (tan\u0131m k\u00fcmesi, g\u00f6r\u00fcnt\u00fc k\u00fcmesi, i\u015fareti, artanl\u0131\u011f\u0131-azalanl\u0131\u011f\u0131, maksimum-minimum noktalar\u0131, s\u0131f\u0131rlar\u0131, bire birli\u011fi, tekli\u011fi-\u00e7iftli\u011fi, \u00f6rtenli\u011fi) matematiksel temsilleri kullanarak belirler.\"}, {\"id\": \"13311\", \"name\": \"Rasyonel referans fonksiyonun nitel \u00f6zellikleri ile matematiksel temsilleri aras\u0131ndaki ili\u015fkileri belirler.\"}], \"order_number\": \"1\", \"b_question_answer\": null, \"b_question_number\": null}","solved_url":"https://limit.frns.in/soru_cozum/web_player/?mp3=https://limit.frns.in/uploads/assets/solution/cozum_1158055_07_20_2025_09_45_56.mp3&pdf=https://limit.frns.in/uploads/assets/questions/152275/9e52abb5a94e7a76e8f91f72bda93d38.pdf&swf=https://limit.frns.in/uploads/assets/questions/152275/9e52abb5a94e7a76e8f91f72bda93d38.swf&xaml=https://limit.frns.in/uploads/assets/solution/cozum_1158055_07_20_2025_09_45_56.xaml","subject":"Matematik","subjects":"Rasyonel Fonksiyonlar","updated_at":"Mon, 15 Sep 2025 20:55:52 GMT"},{"achievement":null,"answers":"ACAEBDCEE","book":"2025-2026 | Limit | 10.S\u0131n\u0131f | Matematik | Yaprak Test","created_at":"Fri, 12 Sep 2025 14:00:56 GMT","id":1058693,"level":"10.S\u0131n\u0131f","node_id":152300,"path":"Limit Yay\u0131nlar\u0131 2025-2026 D\u00f6nemi/Limit Yay\u0131nlar\u0131 10. 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S\u0131n\u0131f Matematik Yaprak Test/Test-30","question_answer":"C","question_id":"1158056","question_image":"https://limit.frns.in/uploads/assets/questions/152275/a73967cfb0e85cfaf3d30324c3b2c65a.png","question_order":2,"question_type":"fernus","raw_question_data":"{\"id\": \"1158056\", \"diff\": \"5\", \"name\": \"Soru\", \"type\": \"fernus\", \"image\": \"https://limit.frns.in/uploads/assets/questions/152275/a73967cfb0e85cfaf3d30324c3b2c65a.png\", \"answer\": \"C\", \"solved\": \"https://limit.frns.in/soru_cozum/web_player/?mp3=https://limit.frns.in/uploads/assets/solution/cozum_1158056_07_19_2025_19_42_48.mp3&pdf=https://limit.frns.in/uploads/assets/questions/152275/a73967cfb0e85cfaf3d30324c3b2c65a.pdf&swf=https://limit.frns.in/uploads/assets/questions/152275/a73967cfb0e85cfaf3d30324c3b2c65a.swf&xaml=https://limit.frns.in/uploads/assets/solution/cozum_1158056_07_19_2025_19_42_48.xaml\", \"subjects\": [{\"id\": \"13321\", \"name\": \"Referans fonksiyonlar ve bunlardan t\u00fcretilebilen fonksiyonlar \u00fczerinden bir fonksiyonun ters fonksiyonuna ili\u015fkin varsay\u0131mlarda bulunur.\"}, {\"id\": \"13322\", \"name\": \"Varsay\u0131mlar\u0131ndan yararlan\u0131p farkl\u0131 durumlarla ilgili \u00f6r\u00fcnt\u00fcleri listeleyerek referans\"}, {\"id\": \"13323\", \"name\": \"ksiyonlar ve bunlardan t\u00fcretilen fonksiyonlar\u0131n ters fonksiyonlar\u0131na ili\u015fkin genellemeler yapar.\"}, {\"id\": \"13324\", \"name\": \"Referans fonksiyonlar ve bunlardan t\u00fcretilen fonksiyonlar\u0131n ters fonksiyonlar\u0131yla ili\u015fkisine dair varsay\u0131mlar\u0131 ile genellemelerini kar\u015f\u0131la\u015ft\u0131r\u0131r.\"}, {\"id\": \"13325\", \"name\": \"Referans fonksiyonlar ve bunlardan t\u00fcretilen fonksiyonlar\u0131n ters fonksiyon ili\u015fkisine ait \u00f6nermeleri matematiksel olarak do\u011frulanabilecek \u015fekilde sunar.\"}, {\"id\": \"13326\", \"name\": \"Referans fonksiyonlar ve bunlardan t\u00fcretilen fonksiyonlar\u0131n ters fonksiyonlar\u0131na ait elde edilen \u00f6nermeleri fonksiyonlar\u0131n genel \u00f6zellikleri ba\u011flam\u0131nda de\u011ferlendirir.\"}], \"order_number\": \"2\", \"b_question_answer\": null, \"b_question_number\": null}","solved_url":"https://limit.frns.in/soru_cozum/web_player/?mp3=https://limit.frns.in/uploads/assets/solution/cozum_1158056_07_19_2025_19_42_48.mp3&pdf=https://limit.frns.in/uploads/assets/questions/152275/a73967cfb0e85cfaf3d30324c3b2c65a.pdf&swf=https://limit.frns.in/uploads/assets/questions/152275/a73967cfb0e85cfaf3d30324c3b2c65a.swf&xaml=https://limit.frns.in/uploads/assets/solution/cozum_1158056_07_19_2025_19_42_48.xaml","subject":"Matematik","subjects":"Rasyonel Fonksiyonlar","updated_at":"Mon, 15 Sep 2025 20:55:52 GMT"},{"achievement":null,"answers":"ACAEBDCEE","book":"2025-2026 | Limit | 10.S\u0131n\u0131f | Matematik | Yaprak Test","created_at":"Fri, 12 Sep 2025 14:00:56 GMT","id":1058694,"level":"10.S\u0131n\u0131f","node_id":152300,"path":"Limit Yay\u0131nlar\u0131 2025-2026 D\u00f6nemi/Limit Yay\u0131nlar\u0131 10. 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S\u0131n\u0131f Matematik Yaprak Test/Test-30","question_answer":"A","question_id":"1158057","question_image":"https://limit.frns.in/uploads/assets/questions/152275/2da9919620a29a4e6110c7ea01c71c33.png","question_order":3,"question_type":"fernus","raw_question_data":"{\"id\": \"1158057\", \"diff\": \"5\", \"name\": \"Soru\", \"type\": \"fernus\", \"image\": \"https://limit.frns.in/uploads/assets/questions/152275/2da9919620a29a4e6110c7ea01c71c33.png\", \"answer\": \"A\", \"solved\": \"https://limit.frns.in/soru_cozum/web_player/?mp3=https://limit.frns.in/uploads/assets/solution/cozum_1158057_07_19_2025_19_58_15.mp3&pdf=https://limit.frns.in/uploads/assets/questions/152275/2da9919620a29a4e6110c7ea01c71c33.pdf&swf=https://limit.frns.in/uploads/assets/questions/152275/2da9919620a29a4e6110c7ea01c71c33.swf&xaml=https://limit.frns.in/uploads/assets/solution/cozum_1158057_07_19_2025_19_58_15.xaml\", \"subjects\": [{\"id\": \"13327\", \"name\": \"Bu fonksiyonlarla ifade edilebilen denklem ve e\u015fitsizliklere ili\u015fkin matematiksel bile\u015fenleri (nitel \u00f6zellikleri ile cebirsel ve grafik temsilleri) belirler.\"}, {\"id\": \"13328\", \"name\": \"Bu fonksiyonlarla ifade edilebilen denklem ve e\u015fitsizliklere ili\u015fkin matematiksel bile\u015fenlerin aralar\u0131ndaki ili\u015fkileri belirler.\"}, {\"id\": \"13329\", \"name\": \"Bu fonksiyonlarla ifade edilebilen denklem ve e\u015fitsizliklerin problem ba\u011flam\u0131ndaki temsillerini farkl\u0131 temsillere d\u00f6n\u00fc\u015ft\u00fcr\u00fcr.\"}, {\"id\": \"13330\", \"name\": \"D\u00f6n\u00fc\u015ft\u00fcrd\u00fc\u011f\u00fc temsillerin problem ba\u011flam\u0131ndaki anlam\u0131n\u0131 ifade eder.\"}, {\"id\": \"13331\", \"name\": \"Elde etti\u011fi ve yorumlad\u0131\u011f\u0131 farkl\u0131 temsillerden yararlanarak problemin \u00e7\u00f6z\u00fcm\u00fc i\u00e7in strateji olu\u015fturur.\"}, {\"id\": \"13332\", \"name\": \"Belirledi\u011fi stratejiyi kullan\u0131r.\"}, {\"id\": \"13333\", \"name\": \"Elde etti\u011fi \u00e7\u00f6z\u00fcm\u00fc farkl\u0131 y\u00f6ntemleri kullanarak do\u011frular.\"}, {\"id\": \"13334\", \"name\": \"Problemin olas\u0131 \u00e7\u00f6z\u00fcm stratejilerini g\u00f6zden ge\u00e7irir.\"}, {\"id\": \"13335\", \"name\": \"Problemin olas\u0131 \u00e7\u00f6z\u00fcm stratejilerinin farkl\u0131 problem durumlar\u0131nda kullan\u0131m\u0131 ile ilgili \u00e7\u0131kar\u0131mlar yapar.\"}, {\"id\": \"13336\", \"name\": \"\u00c7\u0131kar\u0131mlar\u0131n\u0131n ge\u00e7erlili\u011fini s\u00f6zel, cebirsel ve grafiksel arg\u00fcmanlarla de\u011ferlendirir.\"}], \"order_number\": \"3\", \"b_question_answer\": null, \"b_question_number\": null}","solved_url":"https://limit.frns.in/soru_cozum/web_player/?mp3=https://limit.frns.in/uploads/assets/solution/cozum_1158057_07_19_2025_19_58_15.mp3&pdf=https://limit.frns.in/uploads/assets/questions/152275/2da9919620a29a4e6110c7ea01c71c33.pdf&swf=https://limit.frns.in/uploads/assets/questions/152275/2da9919620a29a4e6110c7ea01c71c33.swf&xaml=https://limit.frns.in/uploads/assets/solution/cozum_1158057_07_19_2025_19_58_15.xaml","subject":"Matematik","subjects":"Rasyonel Fonksiyonlar","updated_at":"Mon, 15 Sep 2025 20:55:52 GMT"},{"achievement":null,"answers":"ACAEBDCEE","book":"2025-2026 | Limit | 10.S\u0131n\u0131f | Matematik | Yaprak Test","created_at":"Fri, 12 Sep 2025 14:00:56 GMT","id":1058695,"level":"10.S\u0131n\u0131f","node_id":152300,"path":"Limit Yay\u0131nlar\u0131 2025-2026 D\u00f6nemi/Limit Yay\u0131nlar\u0131 10. 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S\u0131n\u0131f Matematik Yaprak Test/Test-30","question_answer":"E","question_id":"1158058","question_image":"https://limit.frns.in/uploads/assets/questions/152275/27656dce2382d8f4c8d2c63bb8318e95.png","question_order":4,"question_type":"fernus","raw_question_data":"{\"id\": \"1158058\", \"diff\": \"5\", \"name\": \"Soru\", \"type\": \"fernus\", \"image\": \"https://limit.frns.in/uploads/assets/questions/152275/27656dce2382d8f4c8d2c63bb8318e95.png\", \"answer\": \"E\", \"solved\": \"https://limit.frns.in/soru_cozum/web_player/?mp3=https://limit.frns.in/uploads/assets/solution/cozum_1158058_07_19_2025_19_51_38.mp3&pdf=https://limit.frns.in/uploads/assets/questions/152275/27656dce2382d8f4c8d2c63bb8318e95.pdf&swf=https://limit.frns.in/uploads/assets/questions/152275/27656dce2382d8f4c8d2c63bb8318e95.swf&xaml=https://limit.frns.in/uploads/assets/solution/cozum_1158058_07_19_2025_19_51_38.xaml\", \"subjects\": [{\"id\": \"13285\", \"name\": \"Ger\u00e7ek say\u0131larda fonksiyon olma \u015fartlar\u0131 ile ger\u00e7ek say\u0131larda tan\u0131ml\u0131 fonksiyonlar\u0131n nitel \u00f6zelliklerini (tan\u0131m k\u00fcmesi, g\u00f6r\u00fcnt\u00fc k\u00fcmesi, i\u015fareti, artanl\u0131\u011f\u0131-azalanl\u0131\u011f\u0131, maksimum-minimum noktalar\u0131, s\u0131f\u0131rlar\u0131, bire birli\u011fi, tekli\u011fi-\u00e7iftli\u011fi, \u00f6rtenli\u011fi) grafik\"}, {\"id\": \"13286\", \"name\": \"Ger\u00e7ek say\u0131larda tan\u0131ml\u0131 fonksiyonlar\u0131n grafik ve cebirsel temsillerini fonksiyon olma \u015fartlar\u0131 ve fonksiyonlar\u0131n nitel \u00f6zellikleri bak\u0131m\u0131ndan kar\u015f\u0131la\u015ft\u0131r\u0131r.\"}, {\"id\": \"13287\", \"name\": \"Kar\u015f\u0131la\u015ft\u0131rmalar\u0131ndan hareketle ger\u00e7ek say\u0131larda tan\u0131ml\u0131 fonksiyonlar\u0131n grafik ve cebirsel temsilleri ile nitel \u00f6zellikleri hakk\u0131nda yarg\u0131da bulunur.\"}, {\"id\": \"13310\", \"name\": \"Rasyonel referans fonksiyonun nitel \u00f6zelliklerini (tan\u0131m k\u00fcmesi, g\u00f6r\u00fcnt\u00fc k\u00fcmesi, i\u015fareti, artanl\u0131\u011f\u0131-azalanl\u0131\u011f\u0131, maksimum-minimum noktalar\u0131, s\u0131f\u0131rlar\u0131, bire birli\u011fi, tekli\u011fi-\u00e7iftli\u011fi, \u00f6rtenli\u011fi) matematiksel temsilleri kullanarak belirler.\"}, {\"id\": \"13311\", \"name\": \"Rasyonel referans fonksiyonun nitel \u00f6zellikleri ile matematiksel temsilleri aras\u0131ndaki ili\u015fkileri belirler.\"}, {\"id\": \"13312\", \"name\": \"Rasyonel referans fonksiyonu grafik ve cebirsel temsili \u00fczerinde yap\u0131lan i\u015flemlerle di\u011fer rasyonel fonksiyonlara d\u00f6n\u00fc\u015ft\u00fcr\u00fcr.\"}, {\"id\": \"13313\", \"name\": \"Rasyonel referans fonksiyon ile elde etti\u011fi rasyonel fonksiyonlar\u0131n grafik ve cebirsel temsilleri aras\u0131ndaki ili\u015fkiyi ifade eder.\"}, {\"id\": \"13314\", \"name\": \"Rasyonel referans fonksiyonun nitel \u00f6zelliklerinden hareketle di\u011fer rasyonel fonksiyonlar\u0131n nitel \u00f6zellikleri hakk\u0131nda varsay\u0131mlarda bulunur.\"}, {\"id\": \"13315\", \"name\": \"Varsay\u0131mlar\u0131na dayal\u0131 olarak rasyonel fonksiyonlar\u0131n nitel \u00f6zelliklerine ili\u015fkin \u00f6r\u00fcnt\u00fcleri (cebirsel, say\u0131sal veya grafiksel) geneller.\"}, {\"id\": \"13316\", \"name\": \"Genellemelerinin varsay\u0131mlar\u0131n\u0131 kar\u015f\u0131lay\u0131p kar\u015f\u0131lamad\u0131\u011f\u0131n\u0131 kontrol eder.\"}, {\"id\": \"13327\", \"name\": \"Bu fonksiyonlarla ifade edilebilen denklem ve e\u015fitsizliklere ili\u015fkin matematiksel bile\u015fenleri (nitel \u00f6zellikleri ile cebirsel ve grafik temsilleri) belirler.\"}, {\"id\": \"13328\", \"name\": \"Bu fonksiyonlarla ifade edilebilen denklem ve e\u015fitsizliklere ili\u015fkin matematiksel bile\u015fenlerin aralar\u0131ndaki ili\u015fkileri belirler.\"}, {\"id\": \"13329\", \"name\": \"Bu fonksiyonlarla ifade edilebilen denklem ve e\u015fitsizliklerin problem ba\u011flam\u0131ndaki temsillerini farkl\u0131 temsillere d\u00f6n\u00fc\u015ft\u00fcr\u00fcr.\"}, {\"id\": \"13330\", \"name\": \"D\u00f6n\u00fc\u015ft\u00fcrd\u00fc\u011f\u00fc temsillerin problem ba\u011flam\u0131ndaki anlam\u0131n\u0131 ifade eder.\"}, {\"id\": \"13331\", \"name\": \"Elde etti\u011fi ve yorumlad\u0131\u011f\u0131 farkl\u0131 temsillerden yararlanarak problemin \u00e7\u00f6z\u00fcm\u00fc i\u00e7in strateji olu\u015fturur.\"}, {\"id\": \"13332\", \"name\": \"Belirledi\u011fi stratejiyi kullan\u0131r.\"}, {\"id\": \"13333\", \"name\": \"Elde etti\u011fi \u00e7\u00f6z\u00fcm\u00fc farkl\u0131 y\u00f6ntemleri kullanarak do\u011frular.\"}, {\"id\": \"13334\", \"name\": \"Problemin olas\u0131 \u00e7\u00f6z\u00fcm stratejilerini g\u00f6zden ge\u00e7irir.\"}, {\"id\": \"13335\", \"name\": \"Problemin olas\u0131 \u00e7\u00f6z\u00fcm stratejilerinin farkl\u0131 problem durumlar\u0131nda kullan\u0131m\u0131 ile ilgili \u00e7\u0131kar\u0131mlar yapar.\"}, {\"id\": \"13336\", \"name\": \"\u00c7\u0131kar\u0131mlar\u0131n\u0131n ge\u00e7erlili\u011fini s\u00f6zel, cebirsel ve grafiksel arg\u00fcmanlarla de\u011ferlendirir.\"}], \"order_number\": \"4\", \"b_question_answer\": null, \"b_question_number\": null}","solved_url":"https://limit.frns.in/soru_cozum/web_player/?mp3=https://limit.frns.in/uploads/assets/solution/cozum_1158058_07_19_2025_19_51_38.mp3&pdf=https://limit.frns.in/uploads/assets/questions/152275/27656dce2382d8f4c8d2c63bb8318e95.pdf&swf=https://limit.frns.in/uploads/assets/questions/152275/27656dce2382d8f4c8d2c63bb8318e95.swf&xaml=https://limit.frns.in/uploads/assets/solution/cozum_1158058_07_19_2025_19_51_38.xaml","subject":"Matematik","subjects":"Rasyonel Fonksiyonlar","updated_at":"Mon, 15 Sep 2025 20:55:52 GMT"},{"achievement":null,"answers":"ACAEBDCEE","book":"2025-2026 | Limit | 10.S\u0131n\u0131f | Matematik | Yaprak Test","created_at":"Fri, 12 Sep 2025 14:00:56 GMT","id":1058696,"level":"10.S\u0131n\u0131f","node_id":152300,"path":"Limit Yay\u0131nlar\u0131 2025-2026 D\u00f6nemi/Limit Yay\u0131nlar\u0131 10. 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