How all work. A) What is the average rate of change of the function g(x) = 14x + 6 over the interval [0, 5]?
B) What is the average rate of change of the function g(x) = 3(2x) - 6 over the interval [0,5]?
C) How does this compare to your Answers for Problem 4?

Here we can only answer A and B.

For a given function f(x), the average rate of change in a given interval [a, b] is given by:

A) we have g(x) = 14*x + 6, and the interval [0, 5], the average rate of change is:

The average rate of change is 14.

B) We have g(x) = 3*(2x) - 6

we can rewrite this as:

g(x) = 3*2*x - 6 = 6x - 6

And we want to find the rate of change in the interval [0, 5]

is:

the correct answer is 5