Let be differentiable on with for every in and for every in

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

Problem

Let

f

be differentiable on

(-3,7)

with

f'(x)>0

for every

x

(-3,2)

and

f'(x)<0

for every

x

(2,7)

. Which statement about

f

(-3,7)

is correct? (a)

f

is increasing on the entire interval

(-3,7)

(b)

f

is increasing on

(-3,2)

and decreasing on

(2,7)

(c)

f

is decreasing on

(-3,2)

and increasing on

(2,7)

(d)

f

is increasing on

(-3,2)

and increasing on

(2,7)