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Determine the domain of the following graph:

To determine the domain of the given graph, we need to identify the range of x-values for which the graph is defined.

Upon examining the graph:
- The curve starts at \( x = -11 \) (where the point is approximately at \( (-11, -2) \)).
- The curve ends at \( x = 6 \) (where the point is approximately at \( (6, -4) \)).

Thus, the domain is the set of x-values from -11 to 6, inclusive.

Therefore, the **domain** of the graph is:
\[
[-11, 6]
\]

Would you like further details or clarifications on how this was determined?

Here are five related questions to expand on this:
1. What is the range of the function represented by this graph?
2. Can you determine the function type based on this graph's behavior?
3. How would you find the x-intercepts and y-intercepts of the graph?
4. Is this graph continuous, and why does that matter for domain and range?
5. What transformations could you apply to this function, and how would it affect the graph?

**Tip:** The domain of a graph represents all possible x-values where the function is defined, while the range corresponds to all possible y-values. Always check both when analyzing graphs!

Learn how to determine the domain of a graph by analyzing the x-values where the function is defined. The graph starts at x = -11 and ends at x = 6. Suitable for students in Grades 9-11 studying functions and graph analysis.

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