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

question 78

Multiple Choice

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

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Definitions:

Raw Materials

The unprocessed natural materials or substances used in the initial stages of manufacturing to produce goods.

Indirect Materials

Materials used in the production process that cannot be directly linked to a specific product, such as lubricants and cleaning supplies used in the manufacturing facility.

Productions

Refers to the processes and methods involved in transforming raw materials into finished goods or services.

T-Accounts

A visual representation used in bookkeeping to depict the debit and credit sides of an account, helping in the understanding and organization of financial transactions.