Question

is the function h(x) even, odd, or neither? even odd

Explanation:

Step1: Recall symmetry rules

A function is even if its graph is symmetric about the \( y \)-axis (\( h(-x)=h(x) \)), odd if symmetric about the origin (\( h(-x)=-h(x) \)).

Step2: Analyze the graph

The graph of \( h(x) \) is symmetric about the \( y \)-axis (mirror image across \( y \)-axis). For example, the part left of \( y \)-axis mirrors the right. So it satisfies \( h(-x)=h(x) \).

Answer:

even