Asap, will mark brainliest 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.

Thanks for clarifying the function

Part A.

The average rate of change is the change in y over the interval divided by the change in x over the interval. The change in x is just the length of the interval.

So section A, the average from 1 to 2 is

Section B, the average from 3 to 4 is

Part B.

Section B is changing (32/8=) four times faster than section A.

f is an exponential function that not only increases its value but increases the rate at which it increases its value. Each step of one unit in x doubles the rate of increase. Here we stepped two units, from [1,2] to [3,4], so quadrupled the rate.

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step-by-step explanation:

step-by-step explanation: