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To find the **average rate of change** of the function between \( x = -1 \) and \( x = 1 \), we need to use the formula for the average rate of change between two points \( (x_1, y_1) \) and \( (x_2, y_2) \):

\[
\text{Average rate of change} = \frac{y_2 - y_1}{x_2 - x_1}
\]

In this case:
- \( x_1 = -1 \) and \( x_2 = 1 \).
- We need the corresponding \( y \)-values from the graph for \( x = -1 \) and \( x = 1 \).

### Reading from the graph:
- When \( x = -1 \), \( y = 2 \).
- When \( x = 1 \), \( y = -2 \).

Now, apply the formula:

\[
\text{Average rate of change} = \frac{-2 - 2}{1 - (-1)} = \frac{-4}{2} = -2
\]

Thus, the average rate of change of the function between \( x = -1 \) and \( x = 1 \) is **-2**.

Would you like more details or have any questions?

### Related questions:
1. What does the average rate of change represent in terms of the graph's behavior?
2. How would the average rate of change differ if calculated over a different interval?
3. Can the average rate of change be the same as the instantaneous rate of change at a specific point?
4. How is the average rate of change connected to the slope of a secant line?
5. What are the key differences between the average rate of change and the derivative?

### Tip:
The average rate of change is simply the slope of the secant line connecting two points on the graph over the given interval.

Find the average rate of change of the function in the graph shown below between x = -1 and x = 1.

Learn how to find the average rate of change of a function from a graph between x = -1 and x = 1. This problem involves key concepts such as average rate of change, interpreting graphs, and using the formula (y2 - y1) / (x2 - x1). Suitable for students in Grades 9-12.

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