1. The problem asks for the domain of a function represented by a line segment on the x-axis. 2. The graph shows a line segment starting at $x = -3$ with an open circle, meaning $-3$ is not included in the domain. 3. The segment ends at $x = 3$ with a closed circle, meaning $3$ is included in the domain. 4. Therefore, the domain includes all $x$ values strictly greater than $-3$ and up to and including $3$. 5. In interval notation, this is written as $(-3, 3]$. 6. This means the function is defined for all $x$ such that $-3 < x \leq 3$. Final answer: The domain is $(-3, 3]$.