Matematika

Pertanyaan

jika diketahui f(x)= x^2+2x-3.
dengan daerah asal {-3,-2,-1,0,1,2,3}, maka berapa daerah hasilnya??

a.{-4,-3,-1,0,1,5,12}
b.{-4,-3,0,5,12}
c.{0,3,4,5,12}
d.{-12,-5,0,3,4}

1 Jawaban

  • f(x) = x² + 2x - 3

    f(-3) = (-3)² + 2(-3) - 3
    f(-3) = 9 - 6 - 3
    f(-3) = 0

    f(-2) = (-2)² + 2(-2) - 3
    f(-2) = 4 - 4 - 3
    f(-2) = -3

    f(-1) = (-1)² + 2(-1) - 3
    f(-1) = 1 - 2 - 3
    f(-1) = -4

    f(0) = 0 + 0 - 3
    f(0) = -3

    f(1) = (1)² + 2(1) - 3
    f(1) = 1 + 2 - 3
    f(1) = 0

    f(2) = (2)² + 2(2) - 3
    f(2) = 4 + 4 - 3
    f(2) = 5

    f(3) = (3)² + 2(3) - 3
    f(3) = 9 + 6 - 3
    f(3) = 12

    Sehingga daerah hasil = {-4,-3, 0, 5, 12}

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