Question

The function y=f(x) is graphed below. What is the average rate of change of the function f(x) on the interval -6<= x <= 6?

Answer 1

- 1

Explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

`(f(b)-f(a))/(b-a)`

Here [ a, b ] = [ - 6, 6 ]

From the graph

f(b) = f(6) = - 2

f(a) = f(- 6) = 10 , thus

average rate of change =
`(-2-10)/(6-(-6))` =
`(-12)/(12)` = - 1