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Multiple Choice
Find the domain and range of the following graph (write your answer using interval notation).
A
Dom: [−5,5] , Ran: [−4,4]
B
Dom: [−2,2] , Ran: [−3,3]
C
Dom: [−4,4] , Ran: [−5,5]
D
Dom: (−5,5) , Ran: (−4,4)
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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].
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].
In interval notation, the domain is written as [-5, 5], indicating that all x-values from -5 to 5 are included.
In interval notation, the range is written as [-5, 5], indicating that all y-values from -5 to 5 are included.
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.