Question

How do you determine if `f(x)=2x^4+3x^2` is an even or odd function?

Answer 1

`f(x)` is an even function.

Explanation:

If `f(x)` is an odd function, `f(-x)=-f(x)`

and if `f(x)` is an even function, `f(x)=-f(x)`

Here `f(x)=2x^4+3x^2` and

`f(-x)=2(-x)^4+3(-x)^2=2x^4+3x^2=f(x)`

Hence, `f(x)` is an even function.