The graph provided represents a piecewise function, where the goal is to determine its domain and range. To find the domain, we need to observe the horizontal extent (the x-values) of the graph.

From the graph:

• The leftmost point appears at $x = -2$.
• The rightmost point appears at $x = 7$.

Thus, the domain of the function is the set of all x-values from $-2$ to $7$, inclusive, since both endpoints appear as solid points.

The domain in interval notation is: $[-2, 7]$

Would you like an explanation of how to determine the range, or do you have any further questions?

Here are 5 related questions you may find helpful:

1. How do you determine the range of a piecewise graph?
2. What is the difference between open and closed intervals in a graph?
3. How do you determine the domain for more complex graphs, such as trigonometric functions?
4. Can a function have breaks in its domain?
5. What are some common mistakes to avoid when finding the domain?

Tip: Always look at the x-values to determine the domain and the y-values for the range!