Questions: Find the domain and range of the function graphed below. Domain: [-3,2) Range:

Find the domain and range of the function graphed below. Domain: [-3,2) Range:
Transcript text: Find the domain and range of the function graphed below. Domain: $[-3,2)$ Range: $\square$
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Solution

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Solution Steps

Step 1: Find the Domain

The domain of a function is the set of all possible input values (x-values) for which the function is defined. In this graph, the x-values span from -3 to 2, inclusive of -3 but exclusive of 2 (indicated by the closed circle at -3 and the open circle at 2).

Step 2: Find the Range

The range of a function is the set of all possible output values (y-values) resulting from the input values in the domain. The lowest y-value on the graph is -4, and the highest y-value is 4. Both the highest and lowest points are included in the range because there are no open circles at those points.

Final Answer

Domain: [-3, 2) Range: [-4, 4]

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