honeycoffee honeycoffee

14-05-2018
Mathematics

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Use the table to calculate the average rate of change of f(x) over the interval [0, 4].

Use the table to calculate the average rate of change of fx over the interval 0 4 class=

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sqdancefan sqdancefan

14-05-2018

The average rate of change over the interval [a, b] is given by
(f(b) -f(a))/(b -a)

For your interval [0, 4], this is
(f(4) -f(0))/(4 -0) = (256 -16)/(4 -0) = 240/4 = 60

The average rate of change of f(x) over the interval [0, 4] is 60.

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