Question

identify whether the graph of the function $f(x)$ shown below is even, odd, or neither.

answer attempt 1 out of 3
the graph is because

Explanation:

Step1: Recall symmetry rules

For a function to be even, its graph is symmetric about the \( y \)-axis (\( f(-x)=f(x) \)). For odd, symmetric about the origin (\( f(-x)=-f(x) \)).

Step2: Analyze the graph

Visually check the graph. The left and right sides (relative to \( y \)-axis) mirror each other. So, it's symmetric about \( y \)-axis.

Answer:

even (because its graph is symmetric about the \( y \)-axis, satisfying \( f(-x) = f(x) \))