Write an Equation for the Piecewise Function $f ( x ) = \left\{ \begin{array} { l l } 4 , & \text { for } x < 0 \\- 4 , & \text { for } x \geq 0\end{array} \right.$

question 46

Multiple Choice

Write an equation for the piecewise function.
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• A) \(f ( x ) = \left\{ \begin{array} { l l } 4 , & \text { for } x < 0 \\ - 4 , & \text { for } x \geq 0 \end{array} \right.\)
• B) \(f ( x ) = \left\{ \begin{array} { l l } 4 , & \text { for } x \leq 0 \\ - 4 , & \text { for } x > 0 \end{array} \right.\)
• C) \(f ( x ) = \left\{ \begin{array} { l l } - 4 , & \text { for } x \leq 0 \\ 4 , & \text { for } x > 0 \end{array} \right.\)
• D) \(f ( x ) = \left\{ \begin{array} { l l } 4 x , & \text { for } x \leq 0 \\ - 4 x , & \text { for } x > 0 \end{array} \right.\)

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Definitions:

Natural Stain

A discoloration or marking often found on materials, caused by the chemical or physical reaction of a natural substance.

Fractures

Breaks or cracks in rocks where there has been no significant movement or displacement of the sides relative to one another.

Slope-forming Unit

A layer of rock or sediment that determines the slope or steepness of a geological formation due to differences in strength, erosion, or weathering rates.

Loose

Describes materials or objects that are not tightly fixed or compact, allowing for easy movement or separation.