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 these 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 these endpoints. Therefore, the range is [-5, 5].
3. In interval notation, the domain is written as [-5, 5], indicating that the graph includes all x-values from -5 to 5.
4. In interval notation, the range is written as [-5, 5], indicating that the graph includes all y-values from -5 to 5.
5. Verify the endpoints by checking the graph: the leftmost point is at (-5, -5) and the rightmost point is at (5, 5), confirming the domain and range.