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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
Step 1: Understand the domain and range. The domain refers to the set of all possible x-values (horizontal axis) for which the graph is defined, while the range refers to the set of all possible y-values (vertical axis) the graph can take.
Step 2: Analyze the graph for the domain. Observe the x-values where the graph starts and ends. The graph spans from x = -5 to x = 5, including these endpoints. Therefore, the domain is [-5, 5] in interval notation.
Step 3: Analyze the graph for the range. Observe the y-values where the graph reaches its lowest and highest points. The graph spans from y = -5 to y = 5, including these endpoints. Therefore, the range is [-5, 5] in interval notation.
Step 4: Verify the endpoints. The graph includes the points (-5, -5) and (4, 5), which confirms that the domain and range include the endpoints.
Step 5: Write the final domain and range in interval notation. Domain: [-5, 5], Range: [-5, 5].