Give a Rule for the Piecewise-Defined Function $f ( x ) = \left\{ \begin{array} { c l } - 5 & \text { if } x \leq - 2 \\ 3 & \text { if } x > 1 \end{array} \right.$

question 101

Multiple Choice

Give a rule for the piecewise-defined function. Then give the domain and range.
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• A) \(f ( x ) = \left\{ \begin{array} { c l } - 5 & \text { if } x \leq - 2 \\ 3 & \text { if } x > 1 \end{array} \right.\); Domain: \(\{ - 5,3 \}\), Range: \(( \infty - 2 ] \cup ( 1 , \infty )\)
• B) \(f ( x ) = \left\{ \begin{array} { c l } - 5 & \text { if } x < - 2 \\ 3 & \text { if } x \geq 1 \end{array} \right.\); Domain: \(( \infty - 2 ) \cup [ 1 , \infty )\), Range: \(\{ - 5,3 \}\)
• C) \(f ( x ) = \left\{ \begin{array} { c l } - 5 & \text { if } x \leq - 2 \\ 3 & \text { if } x > 1 \end{array} \right.\); Domain: \(( \infty - 2 ] \cup ( 1 , \infty )\), Range: \(\{ - 5,3 \}\)
• D) \(f ( x ) = \left\{ \begin{array} { c l } - 5 & \text { if } x < - 2 \\ 3 & \text { if } x \geq 1 \end{array} \right.\); Domain: \(\{ - 5,3 \}\), Range: \(( \infty - 2 ) \cup [ 1 , \infty )\)

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