$\text { Discuss the continuity of the function } f ( x ) = \frac { x ^ { 2 } - 4 } { x - 2 } \text {. }$

Multiple Choice

$\text { Discuss the continuity of the function } f ( x ) = \frac { x ^ { 2 } - 4 } { x - 2 } \text {. }$

A) $f ( x )$ is discontinuous at $x = - 2$ .
B) $f ( x )$ is discontinuous at $x = - 2,2$ .
C) $f ( x )$ is discontinuous at $x = 2$ .
D) $f ( x )$ is continuous for all real $x$ .
E) $f ( x )$ is continuous at $x = 4$ .