Suppose is continuous on with for and for

MATHEMATICS · Subjective · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

Suppose

f

is continuous on

[2,7]

with

f(x)>0

for

2<x<5

and

f(x)<0

for

5<x<7

. The function

F

satisfies

F'(x)=f(x)

and

F(2)=1

. Indicate on which subintervals of

[2,7]

the function

F

is increasing and on which it is decreasing.