$\text { Find the } x \text {-values (if any) at which } f ( x ) = \frac { | x - 3 | } { x - 3 } \text { is not continuous. }$

Multiple Choice

$\text { Find the } x \text {-values (if any) at which } f ( x ) = \frac { | x - 3 | } { x - 3 } \text { is not continuous. }$

A) $f ( x )$ is not continuous at $x = 3$ and the discontinuity is nonremovable.
B) $f ( x )$ is not continuous at $x = 0$ and the discontinuity is removable.
C) $f ( x )$ is continuous for all real $x$ .
D) $f ( x )$ is not continuous at $x = 3$ and the discontinuity is removable.
E) $f ( x )$ is not continuous at $x = 0 , - 3$ and $x = 0$ is a removable discontinuity.