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

• A. Dom: $\(\left\)[-5,5\(\right\)]$ , Ran: $\(\left\[\lbrack\)-4,4\(\right\]\rbrack\)$
• 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. To find the domain of the graph, observe the x-values that the graph covers. The graph starts at x = -5 and ends at x = 5, including both endpoints. Therefore, the domain is [-5, 5].
2. To find the range of the graph, observe the y-values that the graph covers. The graph starts at y = -5 and ends at y = 5, including both endpoints. Therefore, the range is [-5, 5].
3. In interval notation, the domain is written as [-5, 5], indicating that all x-values from -5 to 5 are included.
4. In interval notation, the range is written as [-5, 5], indicating that all y-values from -5 to 5 are included.
5. Verify the endpoints on the graph: The graph has a closed circle at both ends, confirming that the endpoints are included in the domain and range.