Question

I know this is long but please I really need someone's help. Given the function f(x)=4(2)^x, section A is from X=1 to X=2 and section B is from X=3 to X=4. Part A: Find the a stage 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 only one rate of change is greater than the other.

Answer 1

A: 8; 32
`(f(2)-f(1))/(2-1)\\(16-8)/(1)\\8\\\\(f(4)-f(3))/(4-3)\\(64-32)/(1)\\32`

B: 4; exponential graph
`(32)/(8)\\4`