Question

Use the following table of the function f(x) = x4 − 4x to answer this question:

What is the average rate of change from x = 0 to x = 2?

Select one:
a. 0
b. 2
c. 4
d. 8

Answer 1

c. 4

Explanation:

The average rate of change on the interval [a, b] is given by ...

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

For your interval [0, 2], this is ...

(f(2) -f(0))/(2 -0) = (8 - 0)/(2 -0) = 4

The average rate of change on the interval is 4.