The problem asks us to find the domain and range of the function represented by the graph provided. The graph shows a line segment with a closed circle at $(-1, 3)$ and an open circle at $(3, 1)$.

AlgebraFunctionsDomainRangeLinear FunctionsGraph Analysis
2025/7/3

1. Problem Description

The problem asks us to find the domain and range of the function represented by the graph provided. The graph shows a line segment with a closed circle at (1,3)(-1, 3) and an open circle at (3,1)(3, 1).

2. Solution Steps

The domain of a function is the set of all possible input values (x-values) for which the function is defined. In the graph, the function is defined for x-values from -1 to

3. Since the point at x = -1 is a closed circle, -1 is included in the domain. Since the point at x = 3 is an open circle, 3 is not included in the domain. Therefore, the domain is $[-1, 3)$.

The range of a function is the set of all possible output values (y-values) that the function can take. In the graph, the y-values range from 1 to

3. Since the point at y = 3 is a closed circle, 3 is included in the range. Since the point at y = 1 is an open circle, 1 is not included in the range. Therefore, the range is $(1, 3]$.

3. Final Answer

Domain: [1,3)[-1, 3)
Range: (1,3](1, 3]

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