Math

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Solve the piece wise function when f(17)

f(x) = f(x-3)+2 if x > 10
-5 if x <= 10

Would the answer be 1? Thanks

  • Math -

    I believed the answer is 16 but computer teacher is telling me it 1. Thanks

  • Math -

    when x = 17
    f(17) = f(14) + 2

    but
    f(14) = f(11) + 2

    but
    f(11) =f (8) + 2
    but f(8) = -5 , since x ≤ 10
    so f(11) = -5+2 = -3
    f(14) = -3+2 = -1
    f(17) = -1+2 = +1

    (strange question)

  • Math -

    Let say the other function is
    x-2 , if x < 0
    x^2 + 1 , if x >= 0

    f(-4) would be -6? I kind of not understand why do we keep going down the value. Thanks

  • Math -

    In this last example your function is well defined as
    f(x) = x-2 or x<0 and f(x) = x^2 + 1 for x≥0
    so f(-4) simply falls in the first part
    f(x) = x-2
    f(-4) = -4 - 2 = -6 , so you are right.

    Your first problem did not have f(x) defined explicitly.
    It was defined in terms of f(x-3)
    so we had to find values step-by-step

  • Math -

    Oh, thanks you so much! I did not realize f(x-3) and (x-3) make such different.

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