The graph provided shows a function with certain domain and range that we need to determine using interval notation.

Domain:

The domain of a function represents all the x-values for which the function is defined. From the graph, the function appears to start at $x = -8$ and ends at $x = 3$, meaning the function is defined between these x-values. At both $x = -8$ and $x = 3$, the function includes the points, as indicated by closed (filled) circles at these positions.

Thus, the domain in interval notation is: $\boxed{[-8, 3]}$

Range:

The range of a function represents all the y-values that the function attains. From the graph, the lowest point is at $y = -10$, and the highest point is at $y = 4$. The function includes both of these values as there are filled points at these positions.

Thus, the range in interval notation is: $\boxed{[-10, 4]}$

Would you like further clarification or have any questions?

Related Questions:

1. How do you interpret open and closed intervals in domain and range?
2. How does the function's behavior at specific x-values affect the domain and range?
3. Can you explain how to use vertical line tests to determine the domain?
4. What is the difference between a bounded and unbounded domain?
5. How do domain restrictions affect the graph of a function?

Tip:

When interpreting graphs for domain and range, always look for filled or open circles at the endpoints to see if those values are included or excluded.