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, 9, is less than or equal to, x, is less than or equal to, minus, 4−9≤x≤−4?
To find the average rate of change of the function f(x) on the interval [-9, -4], we use the formula:
Average rate of change = (f(-4) - f(-9)) / (-4 - (-9))
Looking at the graph, we need to find the y-values of f(-4) and f(-9) and then plug them into the formula to calculate the average rate of change.
Let's assume that the y-values of f(-4) and f(-9) are approximately -4 and -2, respectively.
Plugging these values into the formula:
Average rate of change = (-4 - (-2)) / (-4 - (-9))
Average rate of change = (-2) / 5
Average rate of change = -0.4
Therefore, the average rate of change of the function f(x) on the interval [-9, -4] is -0.4.