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

`f(x)=5x\\(f(1)-f(0))/(1-0)\\(5-0)/(1)\\5\\\\(f(3)-f(2))/(3-2)\\(15-10)/(1)\\5`

A: 5; 5

B: 1; they are the same