The graph shows a curve with two endpoints at $(-8, 4)$ and $(9, -5)$. The domain of a function is the set of all possible $x$-values that the function can take. In this graph, the curve starts at $x = -8$ and ends at $x = 9$, without any breaks in between.

Therefore, the domain of the graph is: $[-8, 9]$ This means that the function is defined for all $x$-values between $-8$ and $9$, inclusive.

Would you like more details on how the domain was determined, or any further questions?

Here are five related questions:

1. How do you determine the range of a graph?
2. Can a graph have a domain with gaps? What does that mean?
3. What is the difference between domain and range in a function?
4. How can a graph's domain change if the graph has asymptotes?
5. Why is it important to consider the domain when solving real-world problems?

Tip: The domain of a graph tells you the interval for which the function is defined. Always check for discontinuities or endpoints in the graph when determining the domain.