The problem asks us to find the domain and range of the function graphed in the image.

1. Problem Description

The problem asks us to find the domain and range of the function graphed in the image.

2. Solution Steps

The domain of a function is the set of all possible input values (x-values) for which the function is defined. From the graph, we see that the function starts at $x = -1$ with a closed circle (meaning $-1$ is included) and ends at $x = 3$ with an open circle (meaning $3$ is not included). 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. From the graph, the highest y-value is $4$ and the lowest y-value approaches $-4$ (but does not include it because of the open circle at $x=3$). The range is $[-4, 4]$.

3. Final Answer

Domain: [-1, 3)

Range: (-4, 4]