# How do you find the average value of the function for #f(x)=2-1/2x, 0<=x<=4#?

##### 2 Answers

Mar 22, 2018

The average value of the function on the given interval is

#### Explanation:

Average value of a function is given by

#A = 1/(b - a) int_a^b f(x) dx#

#A = 1/4 int_0^4 2 - 1/2x dx#

#A = 1/4[2x - 1/4x^2]_0^4#

#A = 1/4(2(4) - 1/4(4)^2)#

#A = 1/4(8 - 4)#

#A = 1/4(4)#

#A = 1#

Hopefully this helps!

Mar 22, 2018

The average value of

#### Explanation:

The average value of a function over an interval is its (definite) integral over that interval divided by the length of the interval.

#= 4 - 0 #

#= 4#

The average value of