To calculate the average rate of change of a function over an interval \([a, b]\), you can use the formula:
\[ \text{Average Rate of Change} = \frac{f(b) - f(a)}{b - a} \]
In your case, you're interested in the interval \([-1, 1]\). You'll need to find the values of the function \(f\) at \(x = -1\) and \(x = 1\).
- Determine \(f(-1)\) and \(f(1)\) from the graph.
- Plug those values into the formula above.
- Calculate the average rate of change.
Since I cannot see the image, you will need to retrieve the values of \(f(-1)\) and \(f(1)\) from the graph. Once you have those values, substitute them into the formula and calculate the average rate of change.
If you provide me with those values, I can help you calculate the result!