Mathematics

Mathematics

Problem

On the interval [0,2][0,2], consider q(x)=∣x−1∣q(x)=|x-1| and r(x)=(x−1)2r(x)=(x-1)^{2}. Which of the following describes the relationship between their average values on [0,2][0,2]? a) The average values of qq and rr are equal. b) The average value of qq is less than the average value of rr. c) The average value of qq is greater than the average value of rr. d) It cannot be determined which average is larger without additional information.

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