Question

99 POINTS PLZ ANSWER

Given the function g(x) = 4(3)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. (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

I assume you mean 4(3^x) as in this is an exponential function.

The average rate of change is simply the change in y divided by the change in x so:

(4(3^2-3^1))/(2-1)

4(9-3)

4(6)

24

....

(4(3^4-3^3))/(4-3)

4(81-27)

4(54)

216

So the average rate from 3 to 4 is 216 and from 1 to 2 is only 24.

So the average rate of B to A is 216/24=9, is 9 times greater than A.

The average rate of change is not constant as this is an exponential function.