Write an Equation for the Piecewise Function $f ( x ) = \left\{ \begin{array} { l l } 2 x - 3 , & \text { for } x \neq 3 \\- 3 , & \text { for } x = 3\end{array} \right.$

question 58

Short Answer

Write an equation for the piecewise function.
-
A) $f ( x ) = \left\{ \begin{array} { l l } 2 x - 3 , & \text { for } x \neq 3 \\- 3 , & \text { for } x = 3\end{array} \right.$
B) $f ( x ) = \left\{ \begin{array} { l l } x - 3 , & \text { for } x \neq 3 \\- 2 , & \text { for } x = 3\end{array} \right.$
C) $f ( x ) = \left\{ \begin{array} { l l } 2 x - 3 , & \text { for } x \neq 3 \\- 2 , & \text { for } x = 3\end{array} \right.$
D) $f ( x ) = \left\{ \begin{array} { l l } 2 x - 3 , & \text { for } x < 3 \\2 x + 3 , & \text { for } x \geq 3\end{array} \right.$

• A) \(f ( x ) = \left\{ \begin{array} { l l } 2 x - 3 , & \text { for } x \neq 3 \\ - 3 , & \text { for } x = 3 \end{array} \right.\)
• B) \(f ( x ) = \left\{ \begin{array} { l l } x - 3 , & \text { for } x \neq 3 \\ - 2 , & \text { for } x = 3 \end{array} \right.\)
• C) \(f ( x ) = \left\{ \begin{array} { l l } 2 x - 3 , & \text { for } x \neq 3 \\ - 2 , & \text { for } x = 3 \end{array} \right.\)
• D) \(f ( x ) = \left\{ \begin{array} { l l } 2 x - 3 , & \text { for } x < 3 \\ 2 x + 3 , & \text { for } x \geq 3 \end{array} \right.\)

---

Definitions:

Noncontrollable Costs

Costs that cannot be influenced or altered by the actions of a manager or business unit, often determined by external factors.

Variable Costs

Costs that change in proportion to the level of goods or services that a business produces, such as raw materials and labor expenses.

Fixed Costs

Expenses that remain constant for a specific period regardless of changes in the volume of production or services provided.

Budget Reports

Financial documents that compare actual financial results to the projected budget over a specific period, often used for tracking financial performance and planning.