Sketch the Graph of the Piecewise-Defined Function $$f ( x ) = \left\{ \begin{array} { l l } x ^ { 2 } & \text { if } | x | \leq 1 \\- x ^ { 2 } & \text { if } | x | > 1\end{array} \right.$$

question 59

Essay

Sketch the graph of the piecewise-defined function. $$f ( x ) = \left\{ \begin{array} { l l } x ^ { 2 } & \text { if } | x | \leq 1 \\- x ^ { 2 } & \text { if } | x | > 1\end{array} \right.$$

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Definitions:

Neural Activity

The electrical and chemical processes in the brain and nervous system that allow for thought, perception, movement, and bodily functions.

Endorphins

Natural chemicals in the body that interact with the brain's receptors to reduce pain perception and lead to feelings of euphoria.

Pain Reduction

Pain reduction involves strategies or treatments aimed at alleviating or managing the intensity of pain experienced by an individual.

Brain's Release

The process by which the brain discharges substances, such as neurotransmitters or hormones, which can influence mood, behavior, and physiological functions.