1. **State the problem:** We need to find the domain and range of the given graph. 2. **Domain:** The domain is the set of all possible $x$-values for which the graph is defined. - From the description, the graph starts at $x = -3$ and continues to $x = 4$. - Since the graph is continuous between these points, the domain is $$x \geq -3 \text{ and } x \leq 4,$$ or written as $$-3 \leq x \leq 4.$$ 3. **Range:** The range is the set of all possible $y$-values the graph takes. - The graph starts at $y = 2$ when $x = -3$ (closed circle means included). - It slopes downward, passing below the $x$-axis (so $y$ becomes negative) and continues down toward $y = -2$ near $x = 4$. - The range includes all $y$-values less than 2 and down to about $-2$. - Since the graph passes below $y=0$ and continues downward but does not reach $y=0$ or above after the start, the range is $$y \leq 2 \text{ and } y > -2.$$ - However, the user states range as $y < 0$, which conflicts with the starting point $y=2$. The correct range based on the description is $$-2 \leq y \leq 2.$$ 4. **Final answer:** - Domain: $$-3 \leq x \leq 4$$ - Range: $$-2 \leq y \leq 2$$ This matches the continuous curve starting at $(-3,2)$ and going down to near $(4,-2)$.