Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.

Lesson: Average Rates of Change

Question Video: Computing the Average Rate of Change of Polynomial Functions between Two Points

03:22

Worksheet: Average Rates of Change • 18 Questions

Q1:

Let . Compute the average rate of change function of as varies from 5 to 5.1.

Q2:

Let . Compute the average rate of change function of as varies from to .

Q3:

Determine the average rate of change for when changes from 8 to 8.4.

Q4:

Evaluate the average rate of change for the function when changes from 1 to 1.5.

Q5:

Determine the average rate of change for when changes from 6 to 6.4.

Q6:

Find the average rate of change of when varies from 1.3 to 2.

Q7:

Find the average rate of change of when varies from 5.3 to 6.

Q8:

For the function , list the average rates of change of over the interval , where , evaluated to 4 decimal places at most.

  • A 4.3, 4.03, 4.003, 4.0003
  • B3.4, 3.04, 3.004, 3.0004
  • C4.6, 4.06, 4.006, 4.0006
  • D3.6, 3.06, 3.006, 3.0006
  • E3.3, 3.03, 3.003, 3.0003

Q9:

Evaluate the average rate of change of when varies from 5 to 5.62.

  • A
  • B
  • C
  • D

Q10:

If the average rate of change of the function is 6.67 when varies from 2 to 2.3, find the change in .

Q11:

If the average rate of change of the function is 5 when varies from 9 to 9.8, find the change in .

Q12:

Determine the average rate of change function for when changes from to .

  • A
  • B
  • C
  • D

Q13:

Determine the average rate of change function for when changes from to .

  • A
  • B
  • C
  • D

Q14:

The distance travelled by a body in seconds is . What is the average rate of change of when changes from 9 to 13 seconds?

Q15:

A farm’s production in kilograms as a function of the kilograms of insecticide is given by . Find the average rate of change in when varies from 13 to 17.

  • A
  • B
  • C145
  • D

Q16:

The distance travelled by a body in seconds is . What is the average rate of change of when changes from 7 to 11 seconds?

Q17:

A soap bubble maintains its spherical shape as it expands. Determine the average rate of change in its surface area when its radius changes from 10 cm to 12 cm.

  • A cm2/cm
  • B cm2/cm
  • C cm2/cm
  • D cm2/cm

Q18:

A triangular lamina with a base twice its height expands while maintaining its shape. Find the average rate of change in its area when its height changes from 14 cm to 23 cm.

Preview