On the interval

MATHEMATICS · Single correct · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

On the interval

[0,2]

, consider

q(x)=|x-1|

and

r(x)=(x-1)^{2}

. Which of the following describes the relationship between their average values on

[0,2]

? (a) The average values of

q

and

r

are equal. (b) The average value of

q

is less than the average value of

r

. (c) The average value of

q

is greater than the average value of

r

. (d) It cannot be determined which average is larger without additional information.