Question

what is the domain? options: -3 < x ≤ 3, -4 ≤ x ≤ 5, -4 ≤ y ≤ 5, -3 < y ≤ 3

Explanation:

Step1: Define domain

The domain of a graph is the set of all valid $x$-values (horizontal axis) that the function covers.

Step2: Analyze graph endpoints

Look at the horizontal bounds: left end is an open circle at $x=-3$, right end is a closed circle at $x=3$. An open circle means the value is not included, a closed circle means it is included.

Step3: Match to option

This translates to the inequality $-3 < x \leq 3$.

Answer:

A. $-3 < x \leq 3$