Give a Rule for the Piecewise-Defined Function $f ( x ) = \left\{ \begin{array} { l l } 2 & \text { if } x \leq - 3 \\ 4 & \text { if } x > 4 \end{array} \right.$

question 16

Multiple Choice

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

• A) \(f ( x ) = \left\{ \begin{array} { l l } 2 & \text { if } x \leq - 3 \\ 4 & \text { if } x > 4 \end{array} \right.\); Domain: \([ 2,4 \}\), Range: \(( * - 3 ] \cup ( 4 , \infty )\)
• B) \(f ( x ) = \left\{ \begin{array} { l l } 2 & \text { if } x < - 3 \\ 4 & \text { if } x \geq 4 \end{array} ; \right.\) Domain: \(\{ 2,4 \}\), Range: \(( \infty - 3 ) \cup [ 4 , \infty )\)
• C) \(f ( x ) = \left\{ \begin{array} { l l } 2 & \text { if } x \leq - 3 \\ 4 & \text { if } x > 4 \end{array} ; \right.\) Domain: \(( \infty - 3 ] \cup ( 4 , \infty )\), Range: \(\{ 2,4 \}\)
• D) \(f ( x ) = \left\{ \begin{array} { l l } 2 & \text { if } x < - 3 \\ 4 & \text { if } x \geq 4 \end{array} \right.\); Domain: \(( \infty - 3 ) \cup [ 4 , \infty )\), Range: \(\{ 2,4 \}\)

---

Definitions:

Ethical

Concerned with the principles of what is right and wrong behavior, and the goodness or badness of human character.

Agency Policy

Policies set by an organization or agency to dictate procedures, operations, and standards for its employees and the services it provides.

NASW Code of Ethics

A set of guidelines and principles designed to guide the conduct and decision-making of social workers, established by the National Association of Social Workers.

Billing Procedures

The systematic methods employed by businesses or organizations to issue bills for goods or services provided.