A continuous function satisfies for ,

MATHEMATICS · Single correct · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

A continuous function

f

satisfies

f(x)>0

for

1<x<4

f(4)=0

, and

f(x)<0

for

4<x<7

. Define

F(x)=\int_{1}^{x} f(t)\,dt

. On which interval is

F

decreasing? (a)

(1,4)

only (b)

(1,4)

and

(4,7)

(c)

(4,7)

only (d)

F

is nowhere decreasing on

(1,7)