What is the domain of the function graphed below?

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It appears that you've referenced a specific set of images (mc023-1.jpg to mc023-5.jpg), which are likely from a math problem involving the domain of a function. However, since I cannot directly view images or files, I'll describe how you can determine the domain of a function from its graph.

### How to Determine the Domain of a Function from its Graph:

1. **Identify the X-Values**: The domain of a function consists of all the possible x-values (inputs) for which the function is defined. 

2. **Look for Continuity or Breaks**: Check if the graph is continuous along the x-axis, or if there are any breaks, holes, or vertical asymptotes where the function is not defined.

3. **Endpoints**: If the graph starts and ends at certain points, then the domain will be restricted to the interval between those points.

4. **Infinite Behavior**: If the graph extends infinitely to the left or right, then the domain will include all x-values in that direction (typically represented as negative or positive infinity).

### Example Domains:
- **If the graph is a line or curve that extends infinitely in both directions**, the domain is usually all real numbers, denoted as \( (-\infty, \infty) \).
- **If the graph is restricted between two x-values (e.g., starts at \( x = -2 \) and ends at \( x = 5 \))**, the domain would be \( [-2, 5] \).
- **If there are gaps or undefined points**, those would be excluded from the domain.

If you can describe the graph or provide specific details (like where the function starts and ends, or if there are any breaks), I can help you determine the exact domain.

Do you want further details or have any other questions? Here are some related questions to explore:

1. How do you find the domain of a function given its equation?
2. What is the difference between the domain and the range of a function?
3. How does the domain of a function change with different transformations?
4. What are the common types of functions with restricted domains?
5. How do vertical asymptotes affect the domain of a function?

**Tip**: When working with graphs, always carefully check for any vertical lines or gaps that might indicate where the function is undefined.

Learn how to determine the domain of a function from its graph with a detailed explanation and examples. Understand concepts such as continuity, endpoints, and infinite behavior in relation to function domains. Suitable for high school students studying advanced functions and graphs.

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