The graph depicts a line with two endpoints: one open circle at the left and one closed circle at the right. This setup defines the domain of the function based on the x-coordinates of these points.

Analyzing the graph:

1. Open Circle (Left): This indicates that the value is not included. Let’s assume the x-coordinate at this open circle is $a$.
2. Closed Circle (Right): This indicates the value is included. Let’s assume the x-coordinate at this closed circle is $b$.

From visual observation, the open circle appears at $x = -4$ and the closed circle appears at $x = 3$.

Domain of the graph:

The domain represents the set of all $x$-values for which the function is defined. Here, it includes all $x$-values from $-4$ to $3$, but excludes $-4$ because of the open circle.

Thus, the domain is: $(-4, 3]$

This is a half-open interval where $-4$ is excluded, and $3$ is included.

Let me know if you would like further clarification! Below are additional questions to help expand understanding:

1. What is the difference between open and closed intervals in domain definitions?
2. How does a graph's range relate to its domain?
3. What are some scenarios where the domain would be all real numbers?
4. Can a graph have multiple intervals in its domain? How would it look?
5. How does the slope of a line affect its domain and range?

Tip: Always double-check endpoint inclusions and exclusions based on open and closed circles when determining the domain!