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

question 329

Multiple Choice

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

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Definitions:

PASS Method

Acronym for Pull, Aim, Squeeze, and Sweep, a technique used for effectively using a fire extinguisher.

Fire Extinguisher

A device that discharges a substance to put out a fire, often by cooling the fire, cutting off its oxygen supply, or both.

Substage

A division or smaller part that forms a component of a larger stage or phase.

Direct Contact

Physical interaction between an infected person or contaminant and a susceptible host, leading to the potential transfer of disease.