https://file.aiquickdraw.com/mathbot/file/1729626905948sytlj0ck.jpg

The problem asks to determine the domain of the given graph.

The domain of a function refers to the set of all possible \(x\)-values for which the function is defined. From the graph in your image, the function starts at approximately \(x = -10\) and ends at \(x = 10\) (there is a closed circle at \(x = 10\), indicating that this point is included in the domain). Therefore, the domain includes all \(x\)-values from \(-10\) to \(10\), inclusive.

Thus, the domain of the function is:
\[
\boxed{[-10, 10]}
\]

Would you like further details or have any questions?

Here are 5 related questions you might consider:
1. How do you determine if an endpoint is included in the domain?
2. What is the difference between the domain and range of a function?
3. Can a function have a domain that extends infinitely in both directions?
4. How do vertical asymptotes affect the domain of a function?
5. What is the domain of a function defined by a rational expression?

**Tip**: The domain is affected by factors like breaks in the graph (e.g., holes, jumps), asymptotes, and points where the function is not defined. Always check carefully for such features!

Determine the domain of the following graph.

Learn how to determine the domain of a function from its graph. This problem is suitable for high school students (Grades 9-12) and covers fundamental graph analysis concepts, including recognizing closed and open intervals for domains.

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