https://file.aiquickdraw.com/mathbot/file/17296474617771c8cntxe.jpg

Determine the domain of the following graph:

To determine the **domain** of the graph, we need to identify the set of all possible \( x \)-values for which the graph is defined.

From the image, the graph starts at \( x = -9 \) and ends at \( x = 11 \). The graph appears to include these endpoints, as they are marked with solid points. Therefore, the domain is the closed interval that includes both endpoints.

Thus, the **domain** of the graph is:
\[
[-9, 11]
\]

Would you like more details or have any other questions? Here are 5 related questions to expand on this topic:

1. How would you determine the range of this graph?
2. Can you explain how to find local maxima or minima from this graph?
3. What is the behavior of the graph at the endpoints of the domain?
4. How can the graph be used to find intervals where the function is increasing or decreasing?
5. How do you find the roots (or zeros) of a function based on the graph?

**Tip:** When identifying the domain from a graph, always check the endpoints (whether they are included or excluded) and the behavior of the function along the \( x \)-axis.

Learn how to determine the domain of a graph with a step-by-step solution. This problem covers key mathematical concepts, such as identifying the set of all possible x-values where the graph is defined. Suitable for students in Grades 9-11.

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