The derivative of a differentiable function satisfies on the intervals and and on the…

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

Problem

The derivative of a differentiable function

g

satisfies

g'(x)>0

on the intervals

(-4,0)

and

(2,5)

and

g'(x)<0

on the interval

(0,2)

. Which of the following best describes the behavior of

g

(-4,5)

? (a)

g

is increasing on

(-4,0)

and decreasing on

(0,5)

. (b)

g

is decreasing on

(-4,0)

and increasing on

(0,2)

and decreasing on

(2,5)

. (c)

g

is increasing on

(-4,0)

and

(2,5)

and decreasing on

(0,2)

. (d)

g

is increasing on

(-4,2)

and decreasing on

(2,5)