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

question 235

Multiple Choice

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

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Definitions:

Rate Of Distribution

A measure of how quickly and extensively a substance is spread or dispersed within a system or area.

Lipid Solubility

A characteristic of a substance indicating its ability to dissolve in fats or oils, influencing how easily it can cross cell membranes, including those in the brain.

Medication Molecules

The chemical compounds that make up medications, which interact with the body to produce therapeutic effects.

Constructionist Perspective

A theoretical viewpoint that suggests social realities are constructed through human interaction and interpretation.