A continuous function has an average value of on the interval

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

Problem

A continuous function

h

has an average value of

7

on the interval

[0,4]

. Which of the following must be true? (a)

\displaystyle\int_0^4 h(x)\,dx = 28

(b)

h(2)=7

(c)

\displaystyle\int_0^4 h(x)\,dx = \dfrac{7}{4}

(d)

h(x)\le 7

for all

x\in[0,4]