Consider . Which of the following correctly describes the point for the function…

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

Problem

Consider

g(x)=|x|+1

. Which of the following correctly describes the point

x=0

for the function

g

? (a)

x=0

is a point of local maximum. (b)

x=0

is not a critical point because

g'(0)

does not exist. (c)

x=0

is a point of local minimum. (d)

x=0

is a point of inflection.