Question

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

Answer 1

This function is even because `f(-x) = f(x)`

Explanation:

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

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

[ NOTE : If the function is odd , then `f(-x)=-f(x)` ]

hope that helped