Find the Average Value

Question

Find the average value of  over the interval [1, 3].

Question options:

1)	1.10
2)	2.20
3)	0.55
4)	0.33

Answer 1

f(x) = 2/x on [1,3]

f(1) = 2/1 = 2

f(3) = 2/3

[ f(3) - f(1)] / (3-1)

[ 2/3 - 2] / 2 =

[ 2/3 - 6/3]/ 2 =

-4/3 divided by 2 = -2/3