Questions: Find the domain and range of the function graphed below. Domain: Range:

Find the domain and range of the function graphed below. Domain: Range:
Transcript text: Find the domain and range of the function graphed below. Domain: $\square$ Range: $\square$
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Solution

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Solution Steps

Step 1: Identify the Domain

The domain of a function is the set of all possible input values (x-values) for which the function is defined. From the graph, the function starts at x=−3 x = -3 and ends at x=3 x = 3 . The point at x=−3 x = -3 is included (solid dot), and the point at x=3 x = 3 is not included (open dot).

Step 2: Identify the Range

The range of a function is the set of all possible output values (y-values) that the function can produce. From the graph, the function reaches a maximum y-value of 3 and a minimum y-value of -5. The point at y=3 y = 3 is included (solid dot), and the point at y=−5 y = -5 is not included (open dot).

Final Answer

Domain: [−3,3)[-3, 3)

Range: [−5,3][-5, 3]

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