Median worth of a duty =1/(b-a) times the integral from a to b of the feature.

You are watching: How to find the average value of a function

7

f avg = 1/(7-2) times ∫ (10-x)dx.

2

1/5 times (10x - x2/2)evaluated from 2 to 7

1/5 <(70-49/2)-(20-2)>

Answer: 11/2


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Hello Gabrielle

The average worth of a role over a particular interval is the change in the function during that interval split by the interval.

Think of it as illustration a directly line from one end suggest f(2) to the other finish allude {f(7)> and finding the slope of that line.

Hence, for this problem the average worth is < f(7) - f(2)>/ (7-2) -- i.e rise over run.

I gain (-1)


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