Write an Equation for the Piecewise Function $f ( x ) = \left\{ \begin{array} { l l } x - 3 , & \text { for } x \leq 0 \\- x ^ { 2 } , & \text { for } x > 0\end{array} \right.$

question 66

Multiple Choice

Write an equation for the piecewise function.
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• A) \(f ( x ) = \left\{ \begin{array} { l l } x - 3 , & \text { for } x \leq 0 \\ - x ^ { 2 } , & \text { for } x > 0 \end{array} \right.\)
• B) \(f ( x ) = \left\{ \begin{array} { l l } x + 3 , & \text { for } x \leq 0 \\ \sqrt { x } , & \text { for } x > 0 \end{array} \right.\)
• C) \(f ( x ) = \left\{ \begin{array} { l l } x + 3 , & \text { for } x \leq 0 \\ - \sqrt { x } , & \text { for } x > 0 \end{array} \right.\)
• D) \(f ( x ) = \left\{ \begin{array} { l l } - x + 3 , & \text { for } x \leq 0 \\ - \sqrt { x } , & \text { for } x > 0 \end{array} \right.\)

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Definitions:

Imaging Methods

Techniques and processes used to create images of the body's internal structures and organs for medical diagnostic purposes, including MRI, X-rays, and CT scans.

Invasive

Referring to procedures or species that intrude, spread, or intervene in areas where they are not wanted, often causing harm.

CT Scans

A medical imaging technique that combines a series of X-ray measurements taken from different angles to produce cross-sectional images of specific areas of a scanned object, allowing the doctor to see inside the object without cutting.

Anatomical Brain Imaging

The use of various imaging technologies to visualize the structures within the brain, typically for medical diagnostics.