Let $f ( x ) = | x |$ Which of the Following Is True?

A)

Multiple Choice

Let $f ( x ) = | x |$ Which of the following is true?

A) $f$ is discontinuous at 0 .
B) $f$ has a derivative at 0.
C) $f$ has a corner at (0,0) .
D) $f$ has a has a horizontal tangent line at (0,0) .
E) $f$ has a vertical tangent line at (0,0) .