Find the domain and range of the following graph (write your answer using interval notation).

• A. Dom: $\(\left\)[-5,5\(\right\)]$ , Ran: $\(\left\)[-4.4\(\right\)]$
• B. Dom: $\(\left\)[-2,2\(\right\)]$ , Ran: $\(\left\)[-3,3\(\right\)]$
• C. Dom: $\(\left\)[-4,4\(\right\)]$ , Ran: $\(\left\)[-5,5\(\right\)]$
• D. Dom: $\(\left\)(-5,5\(\right\))$ , Ran: $\(\left\)(-4,4\(\right\))$

Answer: (C)

Verified step by step guidance

1. Observe the graph carefully to identify the extent of the x-values covered by the graph. The domain is the set of all possible x-values for which the graph is defined.
2. Notice that the graph starts at x = -5 and ends at x = 5. Therefore, the domain of the graph is the interval [-5, 5].
3. Next, identify the range of the graph, which is the set of all possible y-values that the graph can take.
4. Observe the lowest point on the graph, which is at y = -5, and the highest point, which is at y = 5. Therefore, the range of the graph is the interval [-5, 5].
5. Write the domain and range using interval notation: Domain: [-5, 5], Range: [-5, 5].