Question

The function y = f(x) is graphed below. What is the average rate of change of thefunction f(x) on the interval -2 << < -1?201816146-2-10-9-8-7 -6 -5 -4 -3-112/3 4 5 6 7 8 9 10-4-6-10-12-12-16

Answer 1

The endpoints of the interval have the coordinates (-2, 2) and (-1, 10)

The y-coordinate of the endpoints of the interval are y = 2 and y = 10; therefore, the average rate of change over this interval is

$\frac{\Delta y}{\Delta x}=\frac{10-2}{-1-(-2)}=\frac{8}{1}=8$

Hence, the average rate of change is 8.