The problem asks us to find the domain and range of the given function represented graphically and express them using interval notation. The graph has a hole at $x = 4$ and starts at $x = -3$.

1. Problem Description

The problem asks us to find the domain and range of the given function represented graphically and express them using interval notation. The graph has a hole at $x = 4$ and starts at $x = -3$.

2. Solution Steps

To determine the domain, we look at the $x$-values for which the function is defined. From the graph, we observe that the function starts at $x = -3$ and continues to $x = 4$, but there is an open circle at $x = 4$. The closed circle at $x = -3$ indicates that $x = -3$ is included. So the domain is $[-3, 4)$.

To determine the range, we look at the $y$-values covered by the function. From the graph, we can see that the minimum $y$-value is 2 and the maximum is

9. Also the $y$-value corresponding to the open circle at $x = 4$ is $y = 3$. Since every $y$ value between 2 and 9 is included, the range is $[2, 9]$.

3. Final Answer

Domain: [-3, 4)

Range: [2, 9]