# Is F(x) = 3x^4 - 5 an odd or even function?

Jun 28, 2016

$F \left(x\right) = 3 {x}^{4} - 5$ is even

#### Explanation:

definitions

If $f \left(- x\right) = f \left(x\right)$ then the function is even
If $f \left(- x\right) = - f \left(x\right)$ then the function is odd

For $F \left(x\right) = 3 {x}^{4} - 5$
$\textcolor{w h i t e}{\text{XXX}} F \left(- x\right) = 3 {\left(- x\right)}^{4} - 5 = 3 {x}^{4} - 5 = F \left(x\right)$
so $F \left(x\right)$ is even