Question

Hello! I need some assistance with his precalculus homework question posted in the image below.

Answer 1

Given,

The expression of the function is,

$f(x)=7x^4$

A function f(x) is even if f(-x) = f(x), for all values of x and it is odd if f(-x) = -f(x), for all values of x.

Here, on substituting -x in place of x in the function then,

$\begin{gathered} f(-x)=7(-x)^4 \\ =7x^4 \\ \text{ So, f(x) = f(-x)} \end{gathered}$

Hence, the given function is even function.