Question

Given the function f(x) = 2(3)x, 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.
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.

Answer 1

The answers to the questions are as follows:

Part A)

Section A : 4
Section B : 36

Part B) 9 times

because exponential function grows faster with larger x

I hope my answer has come to your help. God bless and have a nice day ahead!