Find a Formula for the Function Graphed $f ( x ) = \left\{ \begin{array} { l l } 5 x , & x \leq 0 \\ - 5 x , & x > 0 \end{array} \right.$

question 120

Multiple Choice

Find a formula for the function graphed.
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• A) \(f ( x ) = \left\{ \begin{array} { l l } 5 x , & x \leq 0 \\ - 5 x , & x > 0 \end{array} \right.\)
• B) \(f ( x ) = \left\{ \begin{array} { l l } - 5 , & x \leq 0 \\ 5 , & x > 0 \end{array} \right.\)
• C) \(f ( x ) = \left\{ \begin{array} { l l } 5 , & x \leq 0 \\ - 5 , & x > 0 \end{array} \right.\)
• D) \(f ( x ) = \left\{ \begin{array} { l l } 5 , & x < 0 \\ - 5 , & x \geq 0 \end{array} \right.\)

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Definitions:

Ordered Systems

Systems that have been systematically organized in a structured manner.

Heterogeneous

Consisting of elements that are diverse in nature or composition, often referring to mixtures or groups with dissimilar characteristics.

Adaptive Behavior

The ability of an individual to adjust effectively to new or changing environments.

Formal Authority

Power or right to make decisions, issue commands, and enforce obedience, based on a recognized or official position.