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:

Irrational Worry

Excessive concern or anxiety about potential problems or dangers that are not based on reason or reality.

Attention-Deficit/Hyperactivity Disorder

A neurodevelopmental disorder characterized by a pattern of inattention and/or hyperactivity-impulsivity that interferes with functioning or development.

Psychological Disorder

A mental disorder characterized by persistent disturbances or dysfunctions in behavior, thoughts, or emotions that cause significant distress or impairment.

Excitability

The ability of a cell, particularly a nerve or muscle cell, to respond to stimuli and convert them into nerve impulses.