Question

could someone tell me if I'm doing this problem correctly
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 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

please

Answer 2

Can you post your work so far?

Answer 3

yes thank you

Answer 4

part a f(x)= 4(2)^2-4(2)^1 =8

Answer 5

you will then divide that by the change in x, which is 2-1 = 1

Answer 6

Part B 4(2)^4-4(2)^3=32

Answer 7

ok so i just put that underneath like a fraction so would it be 8 over 1

Answer 8

yes, because the avg rate of change is equal to the change in y over the change in x

Answer 9

oh ok so i have to write it 8 over 1 same thing with b 32over 1

Answer 10

since 8/1 = 8, the final answer to section A is simply 8

Answer 11

oh ok but im having a hard time putting it in words to explain why b is greater than a in part B where it says explain

Answer 12

what does the graph of 4*(2)^x look like?

Answer 13

I cant draw it very good on here