Mathematics

Problem

Let

F

be an antiderivative of the continuous function

f

with

F(0)=2

. Assume

f(x)<0

for

0<x<4

and

f(x)>0

for

4<x<7

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

F(7)=F(4)

b) The relationship between

F(7)

and

F(4)

cannot be determined c)

F(7)>F(4)

F(7)<F(4)