F(x) = x³ - 9x x3 What is the average rate of change of f over the interval [1, 6]?

Pratheesh M asked May 19, 2023

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13 votes

F(x) = x³ - 9x

x3
What is the average rate of change of f over the
interval [1, 6]?

Pratheesh M asked May 19, 2023

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13 votes

$f(1) = 1 {}^(3) - 9(1) = - 8 \\ f(6) = 6 {}^(3) - 9(6) = 162$

$rate = (f(6) - f(1))/(6 - 1) = (162 - ( - 8))/(6 - 1) = (170)/(5) \\ rate \: of \: change = 34 \: y \: per \: x$

Portsample answered May 25, 2023

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