Question

How do you determine whether `f(x) = (x^2+8)^2` is an odd or even function?

Answer 1

`f(-x) = ((-x)^2+8)^2 = (x^2+8)^2 = f(x)`

So `f(x)` is an even function.

Explanation:

An even function is one that satisfies `f(-x) = f(x)` for all `x`

An odd function is one that satisfies `f(-x) = -f(x)` for all `x`