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. Next, determine the range by observing the y-values that the graph covers. The graph reaches a minimum y-value of -5 and a maximum y-value of 5, including these endpoints. Therefore, the range is [-5, 5].
3. In interval notation, the domain is expressed as [−5, 5], indicating that all x-values between -5 and 5, inclusive, are part of the domain.
4. Similarly, the range is expressed as [−5, 5] in interval notation, indicating that all y-values between -5 and 5, inclusive, are part of the range.
5. Ensure that the endpoints are included in both the domain and range, as indicated by the closed brackets in the interval notation.