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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Re: Finding the range of a piecewise function