1. The problem asks to determine the domain of the given graph. 2. The domain of a graph is the set of all possible $x$-values for which the function is defined. 3. From the description, the graph starts at an open circle at approximately $x = -9$ and ends at a closed circle at approximately $x = 3$. 4. An open circle at $x = -9$ means the function is not defined at $x = -9$, so the domain does not include $-9$. 5. A closed circle at $x = 3$ means the function is defined at $x = 3$, so the domain includes $3$. 6. The graph is continuous between these points, so all $x$-values between $-9$ and $3$ are included. 7. Therefore, the domain is all $x$ such that $-9 < x \leq 3$. Final answer: $$\boxed{(-9, 3]}$$