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Math Help - Finding the range of a piecewise function

  1. #1
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    Finding the range of a piecewise function

    Hi there!
    So i'm just a little confused with how to find the range of this practice equation.
    The question states: Find the domain and range of the following piecewise function:

    f(x)= {x^3 x≤4
    {1/(x^2) x>4

    So I got the domain correct, but not that range...

    Domain:
    (-infinity,4]U[4,infinity)

    I thought that to find the range we just had to plug in the domain...?
    But it still says I have a wrong answer...

    I did:

    f(x)= (4)^3 = 64
    f(x)= 1/(4^2) = 0.0625

    Range: 0.0625<y<64
    I'm not sure what I did wrong... Is it the calculations or the process?
    Any input helps!
    Thank you!
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  2. #2
    Senior Member MaxJasper's Avatar
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    Lightbulb Re: Finding the range of a piecewise function




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