FINDING AVERAGE RATE OF CHANGE OVER AN INTERVAL WORKSHEET

For the following exercises, find the average rate of change of each function on the interval specified.

Problem 1 :

f(x) = x² + 2 on [-1, 2]

Solution

Problem 2 :

f(x) = 4x² - 7 on [1, b]

Solution

Problem 3 :

g(x) = 2x² - 9 on [4, b]

Solution

Problem 4 :

f(x) = x² - 2x + 1; [0, 1/3] 

Solution

Problem 5 :

Solution

Problem 6 :

Solution

Problem 7 :

f(x) = -x² + 1; [-1, -3/4] 

Solution

Use the following graph to find the average rate of change of the given interval.

Problem 1 :

Find the average rate of change in the interval

-5 ≤ x ≤ -2

Solution

Problem 2 :

Find the average rate of change in the interval

[-1, 5]

Solution

Problem 3 :

Find the average rate of change in the interval

-4 ≤ x ≤ -2

Solution

Problem 4 :

Regarding the graph at the right, what is the average rate of change over the interval -1 < x < 5 ?

Solution

Problem 5 :

Find the average rate of change between x = 0 and x = 4