Question

The function y, equals, f, of, xy=f(x) is graphed below. What is the average rate of change of the function f, of, xf(x) on the interval minus, 4, is less than or equal to, x, is less than or equal to, minus, 2−4≤x≤−2? thank you

Answer 1

whats the answer

Answer 2

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 \( b = -2 \).

1. First, you need to determine the values of \( f(-4) \) and \( f(-2) \) from the graph of the function \( f(x) \).
2. 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.