Consider the function

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

Problem

g(x)=x^{\tfrac{2}{3}}(x-2)

, which is defined for all real

x

. Which statement correctly describes the behavior of

g

x=0

? (a)

g

is not defined at

x=0

(b)

g

attains a relative minimum at

x=0

(c)

g

attains a relative maximum at

x=0

(d)

g

has neither a relative maximum nor a relative minimum at

x=0