Find a Formula for the Function Graphed $f ( x ) = \left\{ \begin{array} { l l } 2 + x , & x < 2 \\ - 5 & x > 2 \end{array} \right.$

question 228

Multiple Choice

Find a formula for the function graphed.
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• A) \(f ( x ) = \left\{ \begin{array} { l l } 2 + x , & x < 2 \\ - 5 & x > 2 \end{array} \right.\)
• B) \(f ( x ) = \left\{ \begin{array} { l l } 2 - x & x < 2 \\ - 5 & x \geq 2 \end{array} \right.\)
• C) \(f ( x ) = \left\{ \begin{array} { l l } 2 - x , & x \leq 2 \\ - 5 & x > 2 \end{array} \right.\)
• D) \(f ( x ) = \left\{ \begin{array} { l l } 2 + x , & x \leq 2 \\ - 5 & x > 2 \end{array} \right.\)

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Definitions:

Dependent Variable

A variable in an experiment or study whose changes are determined by the influence of one or more independent variables.

Lung Cancer

A type of cancer that begins in the lungs, often associated with smoking tobacco, but also caused by exposure to pollutants, radon gas, and asbestos.

Diagnosed

The process of identifying a disease or condition by examining symptoms and running tests.

Closed-Ended

Refers to a type of question or survey response option that limits answers to pre-defined choices, allowing for easier analysis but less detail.