Given the function g(x) = 6(4)x, section a is from x = 0 to x = 1 and section b is from x = 2 to x = 3. 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)

Part A:

Part B: rate of change in section B is 16 times as great

Part A:

The rate of change is computed as ...

... rate of change = (change in g(x)) / (change in x)

In section A, this is ...

... (change in g(x)) / (change in x) = (24 - 6)/(1 - 0) = 18

In section B, this is ...

... (change in g(x)) / (change in x) = (384 -96)/(3 -2) = 288

Part B:

The function, like any exponential function, increases at an increasing rate. The increase in the rate of change reflects the fact that as x increases, the rate of change of g(x) increases. (See the attachment for a graph.)

answer: sorry i can't you.

step-by-step explanation: