SOLUTION: Find the average rate of change of f(x) 3x^2-4x from x=3 to x=6 . Simplify your answer as much as possible.

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Question 459217: Find the average rate of change of f(x) 3x^2-4x from x=3 to x=6 .
Simplify your answer as much as possible.

Answer by htmentor(1343)   (Show Source): You can put this solution on YOUR website!
Find the average rate of change of f(x) 3x^2-4x from x=3 to x=6 .
Simplify your answer as much as possible.
====================================================
f(x) = 3x^2 - 4x
The average rate of change is the change in f(x) divided by the change in x.
So we can write
rate of change = r = (f(6) - f(3))/(6 - 3)
f(6) = 3(6)^2 - 4(6) = 84
f(3) = 3(3)^2 - 4(3) = 15
So r = (84-15)/(6-3) = 23

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