https://file.aiquickdraw.com/mathbot/file/173039112969842y1zm7y.jpg

To determine the range of the given graph, we need to identify the lowest and highest values that the graph reaches on the y-axis.

### Analyzing the Graph:
1. **Maximum y-value**: The highest point on the graph appears to reach approximately \( y = 9 \).
2. **Minimum y-value**: The lowest point on the graph is around \( y = -8 \).

### Conclusion:
The **range** of the graph, which represents all possible y-values the function can take, is:
\[
[-8, 9]
\]

Would you like a more detailed explanation, or do you have any further questions?

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### Related Questions:
1. How can we determine the domain of this function?
2. What is the difference between range and codomain?
3. How would we describe this function's behavior in terms of increasing and decreasing intervals?
4. How do we find the local maxima and minima of a graph like this?
5. How would we calculate the amplitude if this were a trigonometric function?

### Tip:
Always look at both endpoints and extreme points to accurately determine the range of a function on a graph.

Determine the range of the following graph:

Learn how to determine the range of a function from a graph by identifying the minimum and maximum y-values. In this example, the graph has a range from -8 to 9. Suitable for high school students studying function analysis.

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