Find the Absolute Extreme Values of the Function on the Interval

question 71

Multiple Choice

Find the absolute extreme values of the function on the interval.
- $$f ( x ) = - 4 e ^ { - x ^ { 2 } } , - \infty < x < \infty$$

• A) Minimum value is \(- 4\) at \(x = 0\); no maximum value
• B) Maximum value is \(- 4\) at \(x = 0\); minimum value
• C) No minimum value and no maximum value
• D) Minimum value is \(- 4\) at \(x = 0\); maximum value is \(- \frac { 4 } { \mathrm { e } }\) at \(x = 1\)

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Definitions:

Obsessive-compulsive Disorder

A mental health disorder characterized by uncontrollable, recurring thoughts (obsessions) and behaviors (compulsions) that the individual feels the urge to repeat over and over.

Agoraphobia

An anxiety disorder characterized by an intense fear of being in situations where escape might be difficult or help wouldn't be available if a panic attack occurs.

Panic Disorder

A psychiatric disorder characterized by sudden episodes of intense fear or anxiety and physical symptoms based on a perceived threat rather than imminent danger.

Generalized Anxiety Disorder

A mental health disorder characterized by excessive, uncontrollable worry about everyday things, affecting the individual's daily life and functioning.