1. The problem asks for the domain of the function $g$ based on the graph description. 2. The domain of a function is the set of all possible $x$-values for which the function is defined. 3. From the graph description, the curve starts at $x = -7$ (filled circle) and ends at $x = 4$ (filled circle). 4. Since the curve is continuous between these points and includes both endpoints, the domain is all $x$ such that $$-7 \leq x \leq 4$$ 5. Therefore, the domain is the interval from $-7$ to $4$ inclusive. 6. Comparing with the answer choices, option A matches this domain. Final answer: A. $-7 \leq x \leq 4$