Matematika

Pertanyaan

tentukan range dan Himpunan
tentukan range dan Himpunan

1 Jawaban

  • Mapel : Matematika
    Kelas : VIII SMP
    Bab : Fungsi

    Pembahasan :
    f(x) = 2x + 3

    f(0) = 2(0) + 3 = 3
    f(1) = 2(1) + 3 = 5
    f(2) = 2(2) + 3 = 7
    f(3) = 2(3) + 3 = 9
    f(4) = 2(4) + 3 = 11
    f(5) = 2(5) + 3 = 13

    Daerah Hasil = {3,5,7,9,11,13}

    ——————————————
    f(x) = x² - 1

    f(-2) = (-2)² - 1 = 3
    f(-1) = (-1)² - 1 = 0
    f(0) = 0² - 1 = -1
    f(1) = 1² - 1 = 0
    f(2) = 2² - 1 = 3

    Daerah Hasil = {-1 , 0 , 3}

    ——————————————
    f(x) = 3x - 4

    f(-1) = 3(-1) - 4 = -7
    f(0) = 3(0) - 4 = -4
    f(1) = 3(1) - 4 = -1
    f(2) = 3(2) - 4 = 2
    f(3) = 3(3) - 4 = 5

    Daerah Hasil = {-7 , -4 , -1 , 2 , 5}

    ——————————————
    f(x) = 5x + x²

    f(-2) = 5(-2) + (-2)² = -6
    f(-1) = 5(-1) + (-1)² = -4
    f(0) = 5(0) + 0² = 0
    f(1) = 5(1) + 1² = 6
    f(2) = 5(2) + 2² = 14
    f(3) = 5(3) + 3² = 24
    f(4) = 5(4) + 4² = 36

    Daerah Hasil = {-6 , -4 , 0 , 6 , 14 , 24 , 36}