Find the Domain and Range of the Piecewise Defined Function $$f ( x ) = \left\{ \begin{array} { c c } - 1 & x \leq - 5 \\\frac { 1 } { x } & - 5 < x < 5 \\x - 5 & x > 5\end{array} \right.$$

Multiple Choice

Find the domain and range of the piecewise defined function: $$f ( x ) = \left\{ \begin{array} { c c } - 1 & x \leq - 5 \\\frac { 1 } { x } & - 5 < x < 5 \\x - 5 & x > 5\end{array} \right.$$

A) Domain: $( - \infty , \infty )$ Range: $( - \infty , \infty )$
B) Domain: $( - \infty , 5 ) \cup ( 5 , \infty )$ Range: $( - \infty , \infty )$
C) Domain: $( - \infty , 0 ) \cup ( 0,5 ) \cup ( 5 , \infty )$ Range: $[ 0 , \infty )$
D) Domain: $( - \infty , 0 ) \cup ( 0,5 ) \cup ( 5 , \infty )$ Range: $\{ - 1 \} \cup [ 0 , \infty )$