Question

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

Answer 1

`f(x)=2x^4-x^2` is an even function

Explanation:

This is how to test for even function:

If replacing x with -x will not change anything in the function f(x) then it is an Even function

Let us do it

`f(x)=2x^4-x^2" "`the original equation

try replacing x with -x

`f(-x)=2(-x)^4-(-x)^2" "`

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

You see clearly that

`f(x)=f(-x)`

Therefore, it is an Even function.

God bless....I hope the explanation is useful.