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 465

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: \(( - \infty , 2 ) \cup ( 2 , \infty )\)

Analyze the impact of solving important problems and innovation on power and leadership effectiveness.

Understand the methods and tactics used for influencing attitudes and behavior within organizations.

Differentiate between appropriate and inappropriate uses of power and influence tactics in work settings.

Grasp the significance of task-relevant knowledge and skill as sources of personal power in organizations.

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Definitions:

Specific Action

A particular or defined course of conduct or procedure directed towards achieving a given goal or objective.

Audience Decision

The outcome or action taken by the audience after being exposed to a message or piece of communication.

Persuasive Claim

An assertion made in an attempt to convince or influence others to accept a particular viewpoint or to take a specific action.

Sincere Apology

An expression of regret or remorse that is genuine and heartfelt, acknowledging one's mistakes or failures.