https://file.aiquickdraw.com/mathbot/file/1726844176197nnm2vvje.jpg

The graph shown represents a continuous function on a specific interval of the x-axis. To determine the domain, we need to look at the smallest and largest x-values where the graph starts and ends.

From the image, the graph spans horizontally from approximately **x = -10** to **x = 8**. Therefore, the domain includes all x-values within this range.

Thus, the domain is:

\[
\boxed{[-10, 8]}
\]

Would you like a more detailed explanation of how the domain is determined? Also, here are some questions for further practice:

1. What is the range of this function based on the graph?
2. How do you determine the range of a graph from its vertical extent?
3. How can you tell if a function is continuous by looking at the graph?
4. What is the significance of open versus closed endpoints in the domain?
5. How does the domain change if the graph has asymptotes or breaks?

**Tip:** The domain of a function is the set of all x-values for which the function is defined, while the range is the set of corresponding y-values.

Determine the domain of the following graph.

Learn how to find the domain of a function by analyzing its graph. This problem covers key concepts in graph analysis, including determining the set of x-values for which the function is defined. Suitable for students in Grades 8-10.

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