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 \( x = -3 \) and ends at \( x = 3 \). The point at \( x = -3 \) is included (solid dot), and the point at \( x = 3 \) 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 \( y = 3 \) is included (solid dot), and the point at \( y = -5 \) is not included (open dot).

Final Answer

Domain: \([-3, 3)\)

Range: \([-5, 3]\)

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