https://file.aiquickdraw.com/mathbot/file/1724981980133y8gcyqwn.jpg

The image shows a graph of a function, and the task is to find the domain and range of the function.

### Domain:
The domain of a function is the set of all possible input values (x-values) for which the function is defined. In the graph:
- The graph starts at \( x = -3 \) and ends at \( x = 2 \).
- Therefore, the domain is \([-3, 2]\).

### Range:
The range of a function is the set of all possible output values (y-values) that the function can take.
- The highest point on the graph occurs at \( y = 3 \).
- The lowest point occurs at \( y = -2 \).
- Therefore, the range is \([-2, 3]\).

**Answer:**
- **Domain:** \([-3, 2]\)
- **Range:** \([-2, 3]\)

Would you like any further details or explanations?

Here are five related questions to deepen your understanding:
1. How does one determine the domain and range from a graph with open or closed endpoints?
2. What is the importance of the domain and range in defining a function?
3. How would the domain and range change if the graph had arrows extending infinitely?
4. Can the domain of a function be a discrete set of points? Give an example.
5. How does the concept of domain and range apply to real-world situations?

**Tip:** When determining the domain and range from a graph, carefully observe the endpoints and whether they are included (closed dot) or not (open dot).

Learn how to find the domain and range of a function from a graph with this detailed explanation. Understand the importance of domain and range in defining a function, and explore examples with closed and open endpoints. Suitable for high school students.

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