The Graph of a Piecewise-Defined Function Is Given B) C)

question 75

Multiple Choice

The graph of a piecewise-defined function is given. Write a definition for the function.
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• A) \(f ( x ) = \left\{ \begin{array} { l l } \frac { 4 } { 3 } x - 4 & \text { if } - 3 \leq x \leq 0 \\ \frac { 2 } { 3 } x & \text { if } 0 \leq x \leq 3 \end{array} \right.\)
• B) \(f ( x ) = \left\{ \begin{array} { l l } \frac { 3 } { 4 } x + 4 & \text { if } - 3 \leq x \leq 0 \\ \frac { 3 } { 2 } x & \text { if } 0 < x \leq 3 \end{array} \right.\)
• C) \(f ( x ) = \left\{ \begin{array} { l l } \frac { 4 } { 3 } x + 4 & \text { if } - 3 \leq x \leq 0 \\ \frac { 2 } { 3 } x + 2 & \text { if } 0 < x \leq 3 \end{array} \right.\)
• D) \(f ( x ) = \left\{ \begin{array} { l l } \frac { 4 } { 3 } x + 4 & \text { if } - 3 \leq x \leq 0 \\ \frac { 2 } { 3 } x & \text { if } 0 < x \leq 3 \end{array} \right.\)

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Definitions:

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Patient-Controlled Analgesia

A method of pain management that allows patients to self-administer analgesics, often using a computerized pump.

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Drugs used to alleviate discomfort and pain; can range from over-the-counter options to prescription painkillers.