10. Sınıf Matematik - Fonksiyonlar -2 Soru Çözümü | 2022
58,3bin58,3 bin izleme
Yayın tarihi 24 kas 202124 kas 2021
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Sınıf Fonksiyonlar Soru Çözümleri","beginTime":0}],"fullResult":[{"index":0,"title":"Fonksiyonlar Soru Çözümleri","list":{"type":"unordered","items":["10. sınıfta fonksiyonlar konuundaki soru çözümlerine kaldığı yerden devam ediliyor.","Fonksiyonlar, üniversite hazırlıktaki en büyük etmenlerden biridir."]},"beginTime":0,"endTime":20,"href":"/video/preview/14589737252363726521?parent-reqid=1751954261918111-16710300400908199436-balancer-l7leveler-kubr-yp-vla-131-BAL&text=Olasilik+SORU+%C3%87%C3%B6z%C3%BCm%C3%BC+2+%7C+YGS+Kampi+%2716+Matematik&t=0&ask_summarization=1"},{"index":1,"title":"Fonksiyonların Özellikleri","list":{"type":"unordered","items":["Uygun koşullarda tanımlı bir fonksiyon için f(x+1) + f(x-1) = 4x + 6 olduğunda, f(2) değeri 7 olarak bulunuyor.","Polinom eşitliği kavramında, x'in katsayıları ve sabit sayılar birbirine eşit olmak zorundadır."]},"beginTime":20,"endTime":132,"href":"/video/preview/14589737252363726521?parent-reqid=1751954261918111-16710300400908199436-balancer-l7leveler-kubr-yp-vla-131-BAL&text=Olasilik+SORU+%C3%87%C3%B6z%C3%BCm%C3%BC+2+%7C+YGS+Kampi+%2716+Matematik&t=20&ask_summarization=1"},{"index":2,"title":"Fonksiyonların Tanım ve Görüntü Kümesi","list":{"type":"unordered","items":["Bağıntı şeklinde verilen fonksiyonlarda, ilk elemanlar tanım kümesi, ikinci elemanlar görüntü kümesi elemanlarıdır.","f(3) = 4 ve g(3) = 7 olduğunda, 3f(3) - g(3) = 5 olarak hesaplanıyor."]},"beginTime":132,"endTime":167,"href":"/video/preview/14589737252363726521?parent-reqid=1751954261918111-16710300400908199436-balancer-l7leveler-kubr-yp-vla-131-BAL&text=Olasilik+SORU+%C3%87%C3%B6z%C3%BCm%C3%BC+2+%7C+YGS+Kampi+%2716+Matematik&t=132&ask_summarization=1"},{"index":3,"title":"Çift ve Tek Fonksiyonlar","list":{"type":"unordered","items":["Y eksenine göre simetrik olan fonksiyonlar çift fonksiyondur ve f(-x) = f(x) özelliğini sağlar.","Orijine göre simetrik olan fonksiyonlar tek fonksiyondur ve f(-x) = -f(x) özelliğini sağlar.","f(k) + g(k) = 20 ve f(k) - g(k) = 12 olduğunda, f(k) = 16 ve g(k) = 4 olarak bulunuyor."]},"beginTime":167,"endTime":236,"href":"/video/preview/14589737252363726521?parent-reqid=1751954261918111-16710300400908199436-balancer-l7leveler-kubr-yp-vla-131-BAL&text=Olasilik+SORU+%C3%87%C3%B6z%C3%BCm%C3%BC+2+%7C+YGS+Kampi+%2716+Matematik&t=167&ask_summarization=1"},{"index":4,"title":"Fonksiyon Dönüşümleri","list":{"type":"unordered","items":["f(x) = 250x - 1 olduğunda, f(x+3) fonksiyonunun f cinsinden değeri 8f(x) olarak hesaplanıyor.","f(x) - g(x) = 12x - 1 ve f(x) + g(x) = x² - 2 olduğunda, f(5) = 36 olarak bulunuyor."]},"beginTime":236,"endTime":384,"href":"/video/preview/14589737252363726521?parent-reqid=1751954261918111-16710300400908199436-balancer-l7leveler-kubr-yp-vla-131-BAL&text=Olasilik+SORU+%C3%87%C3%B6z%C3%BCm%C3%BC+2+%7C+YGS+Kampi+%2716+Matematik&t=236&ask_summarization=1"},{"index":5,"title":"Fonksiyon Tanımlama","list":{"type":"unordered","items":["Her pozitif x gerçel sayısını kendisinin karesi ile kendisinin üçte birinin toplamına götüren fonksiyon f(x) = 3x² + x/3 olarak tanımlanıyor."]},"beginTime":384,"endTime":437,"href":"/video/preview/14589737252363726521?parent-reqid=1751954261918111-16710300400908199436-balancer-l7leveler-kubr-yp-vla-131-BAL&text=Olasilik+SORU+%C3%87%C3%B6z%C3%BCm%C3%BC+2+%7C+YGS+Kampi+%2716+Matematik&t=384&ask_summarization=1"},{"index":6,"title":"Parçalı Fonksiyon Örneği","list":{"type":"unordered","items":["60 litre hacmi olan havuza dakikada 3 litre su akmakta ve 20 dakikada taşmaya başlıyor.","t dakikada havuzdan taşan su miktarı f(t) fonksiyonu ile gösterildiğinde, f(t) = 0, (0, 20) ve f(t) = 3t - 60, (20, ∞) şeklinde parçalı fonksiyon olarak tanımlanıyor."]},"beginTime":437,"endTime":569,"href":"/video/preview/14589737252363726521?parent-reqid=1751954261918111-16710300400908199436-balancer-l7leveler-kubr-yp-vla-131-BAL&text=Olasilik+SORU+%C3%87%C3%B6z%C3%BCm%C3%BC+2+%7C+YGS+Kampi+%2716+Matematik&t=437&ask_summarization=1"},{"index":7,"title":"Fonksiyon Değerleri","list":{"type":"unordered","items":["g(2) = 10 olduğunda, f(12) değeri 15 olarak bulunuyor.","Fonksiyon problemlerinde, verilen bilgilere göre x yerine uygun değerler yazarak çözüm bulunabilir."]},"beginTime":569,"endTime":662,"href":"/video/preview/14589737252363726521?parent-reqid=1751954261918111-16710300400908199436-balancer-l7leveler-kubr-yp-vla-131-BAL&text=Olasilik+SORU+%C3%87%C3%B6z%C3%BCm%C3%BC+2+%7C+YGS+Kampi+%2716+Matematik&t=569&ask_summarization=1"}],"linkTemplate":"/video/preview/14589737252363726521?parent-reqid=1751954261918111-16710300400908199436-balancer-l7leveler-kubr-yp-vla-131-BAL&text=Olasilik+SORU+%C3%87%C3%B6z%C3%BCm%C3%BC+2+%7C+YGS+Kampi+%2716+Matematik&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"10. 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Sınıf Fonksiyonlar Soru Çözümleri","beginTime":0}],"fullResult":[{"index":0,"title":"Fonksiyonlar Soru Çözümleri","list":{"type":"unordered","items":["10. sınıfta fonksiyonlar konuundaki soru çözümlerine kaldığı yerden devam ediliyor.","Fonksiyonlar, üniversite hazırlıktaki en büyük etmenlerden biridir."]},"beginTime":0,"endTime":20,"href":"/video/preview/14589737252363726521?parent-reqid=1751954261918111-16710300400908199436-balancer-l7leveler-kubr-yp-vla-131-BAL&text=Olasilik+SORU+%C3%87%C3%B6z%C3%BCm%C3%BC+2+%7C+YGS+Kampi+%2716+Matematik&t=0&ask_summarization=1"},{"index":1,"title":"Fonksiyonların Özellikleri","list":{"type":"unordered","items":["Uygun koşullarda tanımlı bir fonksiyon için f(x+1) + f(x-1) = 4x + 6 olduğunda, f(2) değeri 7 olarak bulunuyor.","Polinom eşitliği kavramında, x'in katsayıları ve sabit sayılar birbirine eşit olmak zorundadır."]},"beginTime":20,"endTime":132,"href":"/video/preview/14589737252363726521?parent-reqid=1751954261918111-16710300400908199436-balancer-l7leveler-kubr-yp-vla-131-BAL&text=Olasilik+SORU+%C3%87%C3%B6z%C3%BCm%C3%BC+2+%7C+YGS+Kampi+%2716+Matematik&t=20&ask_summarization=1"},{"index":2,"title":"Fonksiyonların Tanım ve Görüntü Kümesi","list":{"type":"unordered","items":["Bağıntı şeklinde verilen fonksiyonlarda, ilk elemanlar tanım kümesi, ikinci elemanlar görüntü kümesi elemanlarıdır.","f(3) = 4 ve g(3) = 7 olduğunda, 3f(3) - g(3) = 5 olarak hesaplanıyor."]},"beginTime":132,"endTime":167,"href":"/video/preview/14589737252363726521?parent-reqid=1751954261918111-16710300400908199436-balancer-l7leveler-kubr-yp-vla-131-BAL&text=Olasilik+SORU+%C3%87%C3%B6z%C3%BCm%C3%BC+2+%7C+YGS+Kampi+%2716+Matematik&t=132&ask_summarization=1"},{"index":3,"title":"Çift ve Tek Fonksiyonlar","list":{"type":"unordered","items":["Y eksenine göre simetrik olan fonksiyonlar çift fonksiyondur ve f(-x) = f(x) özelliğini sağlar.","Orijine göre simetrik olan fonksiyonlar tek fonksiyondur ve f(-x) = -f(x) özelliğini sağlar.","f(k) + g(k) = 20 ve f(k) - g(k) = 12 olduğunda, f(k) = 16 ve g(k) = 4 olarak bulunuyor."]},"beginTime":167,"endTime":236,"href":"/video/preview/14589737252363726521?parent-reqid=1751954261918111-16710300400908199436-balancer-l7leveler-kubr-yp-vla-131-BAL&text=Olasilik+SORU+%C3%87%C3%B6z%C3%BCm%C3%BC+2+%7C+YGS+Kampi+%2716+Matematik&t=167&ask_summarization=1"},{"index":4,"title":"Fonksiyon Dönüşümleri","list":{"type":"unordered","items":["f(x) = 250x - 1 olduğunda, f(x+3) fonksiyonunun f cinsinden değeri 8f(x) olarak hesaplanıyor.","f(x) - g(x) = 12x - 1 ve f(x) + g(x) = x² - 2 olduğunda, f(5) = 36 olarak bulunuyor."]},"beginTime":236,"endTime":384,"href":"/video/preview/14589737252363726521?parent-reqid=1751954261918111-16710300400908199436-balancer-l7leveler-kubr-yp-vla-131-BAL&text=Olasilik+SORU+%C3%87%C3%B6z%C3%BCm%C3%BC+2+%7C+YGS+Kampi+%2716+Matematik&t=236&ask_summarization=1"},{"index":5,"title":"Fonksiyon Tanımlama","list":{"type":"unordered","items":["Her pozitif x gerçel sayısını kendisinin karesi ile kendisinin üçte birinin toplamına götüren fonksiyon f(x) = 3x² + x/3 olarak tanımlanıyor."]},"beginTime":384,"endTime":437,"href":"/video/preview/14589737252363726521?parent-reqid=1751954261918111-16710300400908199436-balancer-l7leveler-kubr-yp-vla-131-BAL&text=Olasilik+SORU+%C3%87%C3%B6z%C3%BCm%C3%BC+2+%7C+YGS+Kampi+%2716+Matematik&t=384&ask_summarization=1"},{"index":6,"title":"Parçalı Fonksiyon Örneği","list":{"type":"unordered","items":["60 litre hacmi olan havuza dakikada 3 litre su akmakta ve 20 dakikada taşmaya başlıyor.","t dakikada havuzdan taşan su miktarı f(t) fonksiyonu ile gösterildiğinde, f(t) = 0, (0, 20) ve f(t) = 3t - 60, (20, ∞) şeklinde parçalı fonksiyon olarak tanımlanıyor."]},"beginTime":437,"endTime":569,"href":"/video/preview/14589737252363726521?parent-reqid=1751954261918111-16710300400908199436-balancer-l7leveler-kubr-yp-vla-131-BAL&text=Olasilik+SORU+%C3%87%C3%B6z%C3%BCm%C3%BC+2+%7C+YGS+Kampi+%2716+Matematik&t=437&ask_summarization=1"},{"index":7,"title":"Fonksiyon Değerleri","list":{"type":"unordered","items":["g(2) = 10 olduğunda, f(12) değeri 15 olarak bulunuyor.","Fonksiyon problemlerinde, verilen bilgilere göre x yerine uygun değerler yazarak çözüm bulunabilir."]},"beginTime":569,"endTime":662,"href":"/video/preview/14589737252363726521?parent-reqid=1751954261918111-16710300400908199436-balancer-l7leveler-kubr-yp-vla-131-BAL&text=Olasilik+SORU+%C3%87%C3%B6z%C3%BCm%C3%BC+2+%7C+YGS+Kampi+%2716+Matematik&t=569&ask_summarization=1"}],"linkTemplate":"/video/preview/14589737252363726521?parent-reqid=1751954261918111-16710300400908199436-balancer-l7leveler-kubr-yp-vla-131-BAL&text=Olasilik+SORU+%C3%87%C3%B6z%C3%BCm%C3%BC+2+%7C+YGS+Kampi+%2716+Matematik&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"10. 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