Average Rate of Change of Functions Practice

Average Rate of Change of Functions Practice

What is average rate of change?

Multiple Choice

Which formula is used to find the average rate of change?

• $$y_2-y_1$$

• $$\frac{x_2-x_1}{y_2-y_1}$$

• $$x_2-x_1$$

• $$\frac{y_2-y_1}{x_2-x_1}$$

Example 1: Let's find the average rate of change of f over the interval 0 ≤ x ≤ 9:

Multiple Choice

What is the average rate of change from 1 hour to 5 hours?

• -5

• -3

• -2

• -1

Multiple Choice

What is the average rate of change from 1 < x < 3?

• 3

• 2

• 1

• 4

Multiple Choice

What is the approximate average rate of change of f(x) from -2 ≤ x ≤ 2?

• -4

• -1

• $$-\frac{1}{4}$$

• 4

Multiple Choice

What is the average rate of change of the function from 2 < x < 4?

• 20

• 100

• 300

• 600

Multiple Choice

What is the average rate of change in the height of the corn plant when 4 ≤ day ≤ 28?

• 3 inches

• 2 inches

• $$\frac{1}{2}\ inches$$

• $$\frac{1}{3}\ inches$$

Example 2:
Average rate of change from equation

Let's find the rate of change of g(x)= x³ - 9x over the interval 1 ≤ x ≤ 6

Multiple Choice

What is the average rate of change of f(x) = 5x - 7 from x = -3 to x = 7?

• $$\frac{1}{2}$$

• 5

• 10

• 2

Fill in the Blank

What is the average rate of change of f(x)= x² + 10 over the interval -2 ≤ x ≤ 3?