SOLUTION: average rate of change of the function g(x) = -x2 - 4x on the interval 6 ≤ x ≤ 8 ?

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Question 1158575: average rate of change of the function g(x) = -x2 - 4x on the interval 6 ≤ x ≤ 8 ?
Found 3 solutions by Alan3354, Boreal, MathLover1:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
average rate of change of the function g(x) = -x2 - 4x on the interval 6 ≤ x ≤ 8 ?
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Is x2 a different variable than x?

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
This is [f(b)-f(a)}/(b-a)
=[-96-(-60)]/2
=-36/2=-18

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Definition of average rate of change a function g%28x%29 over an interval [a,b]:
A+=+%28g%28b%29-g%28a%29%29%2F%28b-a%29
given a=6 and b=8
g%286%29+=+-x%5E2+-+4x=-6%5E2-4%2A6=-36-24=-60
g%288%29+=+-x%5E2+-+4x=-8%5E2-4%2A8=-64-32=-96
A+=+%28-96-%28-60%29%29%2F%288-6%29
A+=+%28-96%2B60%29%2F2
A+=+-36%2F2
A+=+-18