Questions: Determine if the following function is even, odd, or neither. f(x)=5 x^4+3 x^2 (a) f(-x)= (b) Thus f(x) is Select an answer and is symmetric to the Select an answer

Determine if the following function is even, odd, or neither.
f(x)=5 x^4+3 x^2
(a) f(-x)=
(b) Thus f(x) is Select an answer and is symmetric to the Select an answer

Transcript text: Determine if the following function is even, odd, or neither. \[ f(x)=5 x^{4}+3 x^{2} \] (a) $f(-x)=$ $\square$ (b) Thus $f(x)$ is Select an answer $\vee$ and is symmetric to the Select an answer $\checkmark$

Solution

Solution Steps

To determine if a function is even, odd, or neither, we need to evaluate $f(-x)$ and compare it to $f(x)$ and $-f(x)$ . A function is even if $f(-x) = f(x)$ , odd if $f(-x) = -f(x)$ , and neither if it satisfies neither condition.