Ƒ(x) = x² - x - 1 What is the average rate of change of f over the interval -1 ≤ x ≤ 1?

Molokoloco asked Apr 14, 2023

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6 votes

Ƒ(x) = x² - x - 1
What is the average rate of change of f over
the interval -1 ≤ x ≤ 1?

Molokoloco asked Apr 14, 2023

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26 votes

Answer: -1

Explanation:

$f(-1)=(-1)^2 - (-1)-1=1\\\\f(1)=1^(2)-1-1=-1\\\\\therefore (f(-1)-f(1))/(-1-1)=(1-(-1))/(-1-1)=(2)/(-2)=\boxed{-1}$

James Eaves answered Apr 21, 2023

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