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 $(3, 1)$.
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 and an open circle at .
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:
Range: