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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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검증된 단계별 안내
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].
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].
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.
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.
Ensure that the endpoints are included in both the domain and range, as indicated by the closed brackets in the interval notation.