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The image shows a graph of a function \( f(x) \) with labeled points, including maxima, minima, and intercepts. To determine the domain of the function \( f(x) \), we need to look at the extent of the graph along the x-axis.

### Domain Analysis:
The domain of a function consists of all the x-values for which the function is defined. Observing the graph:

- The leftmost point on the graph is \( (-28, -6) \), so the smallest x-value in the domain is \( x = -28 \).
- The rightmost point on the graph is \( (24, 6) \), so the largest x-value in the domain is \( x = 24 \).

Since the graph appears to be continuous between these two points without any breaks, the domain of \( f(x) \) includes all x-values from \( -28 \) to \( 24 \).

### Conclusion:
The domain of \( f(x) \) is the interval:

\[
[-28, 24]
\]

This means \( f(x) \) is defined for all x-values from \(-28\) to \(24\) inclusive.

Would you like further details or have additional questions?

Here are some related questions that might interest you:

1. What is the range of the function \( f(x) \) based on the graph?
2. How does the continuity of a function affect its domain?
3. Can you describe a scenario where the domain of a function is restricted to specific values?
4. What are the differences between open and closed intervals in a function's domain?
5. How would the domain change if the graph had breaks or holes?

**Tip:** When determining the domain from a graph, always check for any gaps or vertical asymptotes that might restrict the x-values where the function is defined.

Explore how to determine the domain of a function from its graph with a step-by-step analysis. This problem covers functions and domain analysis, showcasing the process of identifying the range of x-values for which the function is defined. Suitable for Grades 10-12 students and anyone interested in understanding domain concepts through graph analysis.

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