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To determine the range of the given graph, we need to identify the set of all possible output values (i.e., the \( y \)-values) that the function takes on.

By observing the graph:

- The graph reaches a maximum \( y \)-value of approximately \( 9 \).
- The lowest point (minimum \( y \)-value) appears to be around \( -9 \).
- The graph covers all values in between these points without any gaps.

Thus, the range of the function can be written as:
\[
\boxed{[-9, 9]}
\]

Would you like further details or clarification on this? Here are some additional questions to deepen understanding:

1. What is the definition of the domain of a function, and how would you find it for this graph?
2. Can the range of a function ever be larger than its domain?
3. How would you express the range if the graph extended indefinitely in either direction?
4. How can you determine the range of a graph with vertical asymptotes?
5. How would the range change if the function were shifted up by 5 units?

**Tip**: Always inspect the highest and lowest points of a graph when determining the range!

Determine the range of the following graph.

Learn how to determine the range of a function from a graph. The highest and lowest points of the graph provide the range. In this example, the graph reaches a maximum y-value of approximately 9 and a minimum y-value around -9, making the range [-9, 9].

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