Questions: Select the domain and range of the graph in set-builder and interval notation.

Transcript text: Select the domain and range of the graph in set-builder and interval notation.

Solution

Solution Steps

Step 1: Identify the segments on the graph

There are two line segments on the graph. The first segment starts at (-2, 1) and ends at (0, 2). The second segment starts at (2, -1) and ends at (4, -2).

Step 2: Determine the domain of the graph

The domain is the set of all x-values covered by the segments. For the first segment, the x-values range from -2 to 0. For the second segment, the x-values range from 2 to 4. Therefore, the domain is the union of these intervals: \([-2, 0] \cup [2, 4]\).

Step 3: Determine the range of the graph

The range is the set of all y-values covered by the segments. For the first segment, the y-values range from 1 to 2. For the second segment, the y-values range from -2 to -1. Therefore, the range is the union of these intervals: \([1, 2] \cup [-2, -1]\).

Final Answer

Domain: \([-2, 0] \cup [2, 4]\)

Range: \([1, 2] \cup [-2, -1]\)

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