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:

since your problem is x^4 = 81, what you have to undeo is the "to the fourth power" part.

the inverse (opposite operation) of "to the fourth power" is "to the fourth root".

  (x^4) ^ ¼   = 81 ^ ¼  

  81 = 3^4     so (3 ^ 4) ^ ¼   =   3 ^ 1   = 3

by hand: (3 ^ 4) ^ ¼   =   3 ^ (4 x ¼) = 3 ^ 1   = 3   (when you take a power to a power, multiply the exponents.)

or, do it by calculator. one way of finding the fourth root is to use ^ (1/4)

step-by-step explanation:

answer: c.  

step-by-step explanation:

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