Find the Domain and Range Of $f ( x ) = \frac { | x - 2 | } { x - 2 }$

Multiple Choice

Find the domain and range of $f ( x ) = \frac { | x - 2 | } { x - 2 }$

A) Domain: $( - \infty , - 2 ) \cup ( - 2,2 ) \cup ( 2 , \infty )$ Range: $( - \infty , \infty )$
B) Domain: $( - \infty , \infty )$ Range: $( - \infty , \infty )$
C) Domain: $( - \infty , - 2 ) \cup ( - 2,2 ) \cup ( 2 , \infty )$ Range: $( - \infty , \infty )$
D) Domain: $( - \infty , - 2 ) \cup ( - 2,2 ) \cup ( 2 , \infty )$ Range: $\{ - 1,1 \}$