https://file.aiquickdraw.com/mathbot/file/17253966551545le01uju.jpg

The image shows a graph, and the question asks to determine the range of the graph. 

### Steps to Determine the Range:
1. **Identify the Highest Point (Maximum)**: This is the highest value the graph reaches on the y-axis.
2. **Identify the Lowest Point (Minimum)**: This is the lowest value the graph reaches on the y-axis.
3. **Determine the Range**: The range is the set of all y-values that the function takes. It can be represented as \([y_{min}, y_{max}]\) if it's a continuous graph.

### Analysis of the Graph:
- **Maximum Value**: The graph appears to peak at around \(y = 2\).
- **Minimum Value**: The lowest point of the graph appears to be around \(y = -5\).

### Conclusion:
The range of the function is from \(y = -5\) to \(y = 2\).

**Range: \([-5, 2]\)**

Would you like further details or have any other questions?

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**Follow-up Questions:**
1. How do you determine the domain of a function based on its graph?
2. What does the range of a function tell you about its behavior?
3. How would the range change if the graph were shifted vertically?
4. Can a function have the same domain but different ranges?
5. How can you determine if a function is increasing or decreasing from its graph?

**Tip:** Always observe the endpoints and any asymptotes (if present) when determining the range and domain from a graph.

Determine the range of the following graph.

Learn how to determine the range of a function by analyzing a graph. This problem involves identifying the maximum and minimum y-values, providing a complete range. Suitable for students in Grades 9-12.

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