Give a Rule for the Piecewise-Defined Function $f ( x ) = \left\{ \begin{array} { l l } - 2 x & \text { if } x \leq 1 \\ x + 2 & \text { if } x > 1 \end{array} \right.$

question 249

Multiple Choice

Give a rule for the piecewise-defined function. Then give the domain and range.
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• A) \(f ( x ) = \left\{ \begin{array} { l l } - 2 x & \text { if } x \leq 1 \\ x + 2 & \text { if } x > 1 \end{array} \right.\); Domain: \(( \infty , 2 ) \cup ( 2 , \infty )\), Range: \(( \infty , \infty )\)
• B) \(f ( x ) = \left\{ \begin{array} { l l } - x & \text { if } x \leq 1 \\ 2 x + 1 & \text { if } x > 1 \end{array} \right.\) Domain: \(( \infty , \infty )\), Range: \(( \infty , 2 ) \cup ( 2 , \infty )\)
• C) \(f ( x ) = \left\{ \begin{array} { l l } - 2 x & \text { if } x \leq 1 \\ x + 1 & \text { if } x > 1 \end{array} \right.\); Domain: \(( \infty , \infty )\), Range: \(( \infty , \infty )\)
• D) \(f ( x ) = \left\{ \begin{array} { l l } 2 x & \text { if } x \leq 1 \\ x + 1 & \text { if } x > 1 \end{array} \right.\); Domain: \(( \infty , \infty )\), Range: \(( \infty , \infty )\)

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