https://file.aiquickdraw.com/mathbot/file/1734118367910jmfg6i4a.jpg

From the image, the task is to determine the **domain** of the given graph. The domain of a graph consists of all possible \(x\)-values for which the graph is defined.

### Steps to Solve:
1. **Observe the graph along the \(x\)-axis:** The domain will include all \(x\)-values where the graph exists.
2. The graph starts at \(x = -8\) and ends at \(x = 5\). Both \(x = -8\) and \(x = 5\) are included since the graph has endpoints (solid dots) at these points.
3. Thus, the domain is:
   \[
   \boxed{[-8, 5]}
   \]

Would you like further explanation or clarification? 😊

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Here are 5 related questions for practice:
1. How would you find the range of this graph?
2. What does it mean if an endpoint is open (not solid)?
3. How do you determine if a graph is continuous over its domain?
4. What is the difference between domain and range?
5. How do you write the domain of a graph in interval notation?

**Tip:** Always check the endpoints of a graph carefully to see if they are included or excluded.

Determine the domain of the following graph.

Learn how to determine the domain of a function by analyzing its graph. In this example, the domain spans from x = -8 to x = 5, indicated with solid endpoints. This lesson covers domain interpretation, interval notation, and graphical analysis, suitable for Grades 8-10.

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