The Graph of a Piecewise-Defined Function Is Given $f ( x ) = \left\{ \begin{array} { l l } \frac { 1 } { 2 } x & \text { if } - 4 < x < 0 \\ x & \text { if } 0 < x < 3 \end{array} \right.$

question 264

Multiple Choice

The graph of a piecewise-defined function is given. Write a definition for the function.
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• A) \(f ( x ) = \left\{ \begin{array} { l l } \frac { 1 } { 2 } x & \text { if } - 4 < x < 0 \\ x & \text { if } 0 < x < 3 \end{array} \right.\)
• B) \(f ( x ) = \left\{ \begin{array} { l l } - 2 x & \text { if } - 4 \leq x \leq 0 \\ x & \text { if } 0 < x \leq 3 \end{array} \right.\)
• C) \(f ( x ) = \left\{ \begin{array} { l l } - \frac { 1 } { 2 } x & \text { if } - 4 < x < 0 \\ x & \text { if } 0 < x < 3 \end{array} \right.\)
• D) \(f ( x ) = \left\{ \begin{array} { l l } - \frac { 1 } { 2 } x & \text { if } - 4 \leq x \leq 0 \\ x & \text { if } 0 < x \leq 3 \end{array} \right.\)

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Definitions:

Medium of Exchange

A mediating tool or mechanism that assists in the buying, selling, or exchanging of items among individuals.

Exchange of Currencies

The act of trading one country's currency for another, facilitating international trade and investment through the foreign exchange market.

Division of Labor

The breakdown of production processes into distinct tasks, with different workers specializing in each task to increase efficiency and productivity.

Cash Flows

The net amount of cash and cash-equivalents being transferred into and out of a business.