Question

I have part A done but i need help with part B. Will medal!
Given he 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 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

My answer-
Part a)
section A
f(average)= 4(2)^2 - 4(2)^1
____________ = 8
2-1

section B
f(average)= 4(2)^4 - 4(2)^3
____________ = 32
4-3

Part b)
The rate of change is 4 times greater between section B than between section A because.....(that's all I have)

Answer 2

32= ?*8

Answer 3

whoops sorry i left some out of the question. this is whats missing- Explain why one rate of change is greater than the other

Answer 4

I have to explain but i'm not sure how

Answer 5

and you get the right answer, just 4 times. Dat sit

Answer 6

And you need the explanation part, right?

Answer 7

the exponential function is monotonously increasing. That explains why the rate of section B is greater than it is on section A

Answer 8

Okay thank you so much :>