Question

use the graph of ( y = f(x) ) to answer the questions. complete parts a through j
f. what is/are the ( x )-intercept(s) of ( f )?
the ( x )-intercept(s) is/are ( x = -2,2 )
(use a comma to separate answers as needed.)
g. is ( f ) even, odd, or neither?
even
neither
odd

Explanation:

Step1: Recall the definition of an even function

An even function satisfies \(f(x)=f(-x)\) for all \(x\) in the domain of \(f\). This means the graph of an even function is symmetric about the \(y -\)axis.

Step2: Check the symmetry of the given graph

Looking at the graph of \(y = f(x)\), if we take a point \((x,y)\) on the graph, the point \((-x,y)\) is also on the graph. For example, consider the points \((- 4,4)\) and \((4,4)\) on the graph of \(y = f(x)\).

Answer:

Even