Question
Asked Nov 12, 2019
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Let f (x) = | x |.
The mean value of f on the interval [-1, 2] is ____

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Step 1
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Consider the given function as f(x) = \x| and one interval -1,2] Note that, the mean value of a function f(x) on the interval [a,b] is given 1 by fa ;ff(x)ds b-а- ifx >0 х Here, absolute function is defined as f(x)= |x =- ifx<0 if x 0 0

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Step 2
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Evaluate the mean value of the given function on the interval as follows. avg 2 )dxd 3 -1 0 х* 1 2 2 02 (-) 22 02 1 2 2 2 2

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Tagged in

Math

Calculus

Integration