Mathematics

Problem

Let

f(x)=|x|

and define

g(x)=x^{2}f(x)

. Which of the following describes the behavior of

g

x=0

? a)

g

is continuous but not differentiable at

x=0

. b)

g

has a corner at

x=0

. c)

g

is differentiable at

x=0

. d)

g

is not continuous at

x=0