To calculate the average rate of change of the function \( f(x) \) on the interval \([-4, -2]\), you will use the formula for the average rate of change:
\[ \text{Average Rate of Change} = \frac{f(b) - f(a)}{b - a} \]
where \( a \) is the starting point of the interval, and \( b \) is the endpoint of the interval. In this case, \( a = -4 \) and \( b = -2 \).
- First, you need to determine the values of \( f(-4) \) and \( f(-2) \) from the graph of the function \( f(x) \).
- After finding these values, you will substitute them into the average rate of change formula.
Assuming you have the values from the graph for \( f(-4) \) and \( f(-2) \):
- Let's say \( f(-4) = y_1 \) and \( f(-2) = y_2 \).
Then the average rate of change would be calculated as follows:
\[ \text{Average Rate of Change} = \frac{y_2 - y_1}{-2 - (-4)} = \frac{y_2 - y_1}{2} \]
Make sure to substitute the actual values from the graph to get the final answer. If you provide the values of \( f(-4) \) and \( f(-2) \) from the graph, I can help you calculate the average rate of change.