# Question #cc9f3

Nov 29, 2017

It's an even function.

#### Explanation:

A function is odd $f \left(- x\right) = - f \left(x\right)$
A function is even if $f \left(- x\right) = f \left(x\right)$

In this problem substitute $f \left(- x\right)$ so,
$f \left(- x\right) = {\left(- x\right)}^{4} - 3 {\left(- x\right)}^{2} - 4$
$= {x}^{4} - 3 {x}^{2} - 4$
When we substitute $- x$, we get the original function therefore, this is an even function.