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

question 171

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: \(\{ - 3,3 \}\)

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