Unit 4 Lesson 5 Polynomial Assignment
 
Unit 4 Lesson 5 Assignment - Rates of Changes in Polynomial Functions
Now that you have had some practice with calculating the average and instantaneous rates of change, you will have
an opportunity to demonstrate what you have learned by completing an assignment. Please complete the questions
below, which must then be submitted to your instructor for grading. (14 marks)
Question 1 : Determine the average rate of change between the points x1 = -4 and x2 = 4 in the function f(x) = x2.
( 2 marks - knowledge )
{ f(4) - f(-4) } / 4 - ( -4 )
= 0
The average rate of change between the point x1 = -4 and x2 = 4 is zero.
Question 2 : Determine the average rate of change between the points x1 = 0 and x2 = 10 in the function
f(x) = 3x2 + 3x + 1. (2 marks - Knowledge)
{ f(10) - f(0) } / ( 10 - 0 )
= 33
The average rate of change between the point x1 = 0 and x2 = 10 is