Let and for . Which of the following correctly compares the average values of and on…

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

Problem

Let

f(x)=x^{2}+1

and

g(x)=2x+2

for

0\le x\le 3

. Which of the following correctly compares the average values of

f

and

g

[0,3]

? (a) The average value of

f

is greater than the average value of

g

. (b) The average values of

f

and

g

are equal. (c) The average value of

f

is less than the average value of

g

. (d) There is insufficient information to compare the average values.