Question

Given the function f(x) = 5x, Section A is from x = 0 to x = 1 and Section B is from x = 2 to x = 3.

Part A: Find the average rate of change of each section. (4 points)
Part B: How many times greater is the average rate of change of Section B than Section A? Explain why one rate of change is greater than the other. (6 points)

Answer 1

Average rate of change from x = 0 to x = 1 is
`(f(1)-f(0))/(1-0)= (5(1)-5(0))/(1)=5`
Average rate of change from x = 2 to x = 3 is
`(f(3)-f(2))/(3-2)= (5(3)-5(2))/(1)=15-10=5`
The average rate of change of both sections are equal.