Give a Rule for the Piecewise-Defined Function $f ( x ) = \left\{ \begin{array} { l l } 3 x & \text { if } x \leq 0 \\ - 3 x & \text { if } x > 0 \end{array} ; \right.$

Multiple Choice

Give a rule for the piecewise-defined function. Then give the domain and range.
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A) $f ( x ) = \left\{ \begin{array} { l l } 3 x & \text { if } x \leq 0 \\ - 3 x & \text { if } x > 0 \end{array} ; \right.$ Domain: $\{ - 3,3 \}$ , Range: $( x , \infty )$
B) $f ( x ) = \left\{ \begin{array} { l l } 3 & \text { if } x < 0 \\ - 3 & \text { if } x \geq 0 \end{array} \right.$ ; Domain: $( \infty , \infty )$ , Range: $\{ - 3,3 \}$
C) $f ( x ) = \left\{ \begin{array} { l l } - 3 & \text { if } x \leq 0 \\ 3 & \text { if } x > 0 \end{array} \right.$ ; Domain: $\{ - 3,3 \}$ , Range: $( \infty , \infty )$
D) $f ( x ) = \left\{ \begin{array} { l l } 3 & \text { if } x \leq 0 \\ - 3 & \text { if } x > 0 \end{array} \right.$ ; Domain: $( * , \infty )$ , Range: $\{ - 3,3 \}$