Mathematics

Mathematics

Problem

A differentiable function

g

satisfies the following:

g

increases on

(1,4)

and decreases on

(4,7)

. Let

f

be defined by

f(x)=g'(x)

. Which statement about

f

is most accurate? a)

f(x)<0

for

1<x<4

and

f(x)>0

for

4<x<7

b)

f(x)<0

for both

1<x<4

and

4<x<7

c)

f(x)>0

for

1<x<4

and

f(x)<0

for

4<x<7

d)

f(x)>0

for both

1<x<4

and

4<x<7

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