Give a Rule for the Piecewise-Defined Function $f ( x ) = \left\{ \begin{array} { l l } 3 x & \text { if } x \leq 0 \\ - 3 x & \text { if } x > 0 \end{array} ; \right.$

question 171

Multiple Choice

Give a rule for the piecewise-defined function. Then give the domain and range.
-

• A) \(f ( x ) = \left\{ \begin{array} { l l } 3 x & \text { if } x \leq 0 \\ - 3 x & \text { if } x > 0 \end{array} ; \right.\) Domain: \(\{ - 3,3 \}\), Range: \(( x , \infty )\)
• B) \(f ( x ) = \left\{ \begin{array} { l l } 3 & \text { if } x < 0 \\ - 3 & \text { if } x \geq 0 \end{array} \right.\); Domain: \(( \infty , \infty )\), Range: \(\{ - 3,3 \}\)
• C) \(f ( x ) = \left\{ \begin{array} { l l } - 3 & \text { if } x \leq 0 \\ 3 & \text { if } x > 0 \end{array} \right.\); Domain: \(\{ - 3,3 \}\), Range: \(( \infty , \infty )\)
• D) \(f ( x ) = \left\{ \begin{array} { l l } 3 & \text { if } x \leq 0 \\ - 3 & \text { if } x > 0 \end{array} \right.\); Domain: \(( * , \infty )\), Range: \(\{ - 3,3 \}\)

---

Definitions:

Contingency Management

A behavioral therapy technique that modifies behavior by changing the consequences that are contingent upon that behavior.

Assessment

The process of evaluating or estimating the nature, ability, or quality of something, often for purposes of education or psychology.

Contingency Management

A behavioral therapy technique based on the modification of behavior by changing the consequences of behaviors.

Reduce Smoking

Initiatives, strategies, or personal efforts aimed at decreasing the frequency or cessation of tobacco smoking.