1. **Problem Statement:** Determine the domain and range of the graph described, which starts near (-3, -2), crosses the x-axis near (1,0), and ends at (4, 2). 2. **Understanding Domain and Range:** - The **domain** is the set of all possible x-values for the function. - The **range** is the set of all possible y-values for the function. 3. **Analyzing the Graph Description:** - The graph starts near x = -3 and ends at x = 4, but the problem options restrict domain to values less than or equal to 4 or between 2 and 4. - The y-values start near -2, go up and down, and the highest point is at y = 2. 4. **Checking Each Option:** - a. Domain: $x \leq 4$; Range: $-2 \leq y \leq 2$ - b. Domain: $x \leq 2$; Range: $y \leq 4$ - c. Domain: $x \leq 4$; Range: $y \leq 2$ - d. Domain: $2 \leq x \leq 4$; Range: $y \leq 2$ 5. **Matching with Graph:** - The graph extends from about $x = -3$ to $x = 4$, so domain $x \leq 4$ fits better than $x \leq 2$ or $2 \leq x \leq 4$. - The y-values range from about $-2$ to $2$, so range $-2 \leq y \leq 2$ fits best. 6. **Final Answer:** - The correct domain and range are $x \leq 4$ and $-2 \leq y \leq 2$. **Answer: a.**