Suppose is continuous on with for and

MATHEMATICS · Subjective · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

Suppose

f

is continuous on

(-4,7)

with

f(x)>0

for

-4<x<-1

and

2<x<7

f(x)<0

for

-1<x<2

, and

f(x)=0

x=-1

and

x=2

. Let

F(x)=\int_{-4}^{x} f(t)\,dt

. Identify each critical point of

F

(-4,7)

and classify it as a location of a relative maximum or a relative minimum of

F