Find the average rate of change of f(x) = 2×2 – 7x from x = 2 to x=6. Simplify your answer as much as possible.

Question

Find the average rate of change of f(x) = 2×2 – 7x from x = 2 to x=6.
Simplify your answer as much as possible.

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Rylee 2 weeks 2021-09-09T13:22:18+00:00 1 Answer 0

Answers ( )

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    2021-09-09T13:24:16+00:00

    Answer:

    -6

    Step-by-step explanation:

    \text{The average rate of change of function}\ f(x)\\\text{over the interval}\ a\leq x\leq b\ \text{is given by this expression:}\\\dfrac{f(b)-f(a)}{b-a}\\\\f(x)=2x^2-7x\\\\\text{Put the values of x = 2 and x = 6 to the equation of the function:}\\\\f(2)=2(2^2)-7(2)=2(4)-14=8-14=-6\\f(6)=2(6^2)-7(6)=2(36)-42=72-42=-30\\\\\dfrac{f(6)-f(2)}{6-2}=\dfrac{-30-(-6)}{4}=\dfrac{-24}{4}=-6

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