Let be a strictly increasing continuous function on

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

Problem

Let

h(x)

be a strictly increasing continuous function on

[1,5]

. If

\bar h_1

denotes its average value on

[1,3]

and

\bar h_2

denotes its average value on

[3,5]

, which one of the following statements is true? (a)

\bar h_1>\bar h_2

(b)

\bar h_1=\bar h_2

(c)

\bar h_1<\bar h_2

(d) The relation between

\bar h_1

and

\bar h_2

cannot be determined