Give a Rule for the Piecewise-Defined Function $f ( x ) = \left\{ \begin{array} { l l } 5 & \text { if } x \leq 0 \\ - x & \text { if } x > 0 \end{array} ; \right.$

question 231

Multiple Choice

Give a rule for the piecewise-defined function. Then give the domain and range.
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• A) \(f ( x ) = \left\{ \begin{array} { l l } 5 & \text { if } x \leq 0 \\ - x & \text { if } x > 0 \end{array} ; \right.\) Domain: \(( \infty , \infty )\), Range: \(( \infty , 0 ) \cup \{ 5 \}\)
• B) \(f ( x ) = \left\{ \begin{array} { l } 5 \text { if } x < 0 \\ x \text { if } x \geq 0 \end{array} ; \right.\) Domain: \(( \infty , 0 ] \cup ( 5 )\), Range: \(( \infty , \infty )\)
• C) \(f ( x ) = \left\{ \begin{array} { l l } 5 & \text { if } x < 0 \\ - 5 x & \text { if } x \geq 0 \end{array} ; \right.\) Domain: \(( \infty , 0 ) \cup \{ 5 \}\), Range: \(( \infty , \infty )\)
• D) \(f ( x ) = \left\{ \begin{array} { l l } 5 & \text { if } x < 0 \\ - x & \text { if } x \geq 0 \end{array} ; \right.\) Domain: \(( \infty , \infty )\), Range: \(( \infty , 0 ] \cup \{ 5 \}\)

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