At $x=0,$ the function $y=|x|$ is
(A) continuous but not differentiable
(B) continuous and differentiable
(C) not continuous but differentiable
(D) not continuous and not differentiable
At $x=0,$ the function $y=|x|$ is
(A) continuous but not differentiable
(B) continuous and differentiable
(C) not continuous but differentiable
(D) not continuous and not differentiable