Mathematics

Mathematics

Problem

Let

f

be differentiable on

(-3,7)

with

f'(x)>0

for every

x

in

(-3,2)

and

f'(x)<0

for every

x

in

(2,7)

. Which statement about

f

on

(-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)

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