Find the Maximum or the Minimum Value of the Function $f ( x ) = \frac { x } { 4 } \left( 1 - \frac { x } { 4 } \right) + \frac { 5 } { 12 }$

question 17

Essay

Find the maximum or the minimum value of the function $f ( x ) = \frac { x } { 4 } \left( 1 - \frac { x } { 4 } \right) + \frac { 5 } { 12 }$ .

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Definitions:

Psychological Health

A state of well-being where an individual realizes his or her own abilities, can cope with normal stresses of life, work productively, and contribute to the community.

Humanistic Therapies

Treatments that uniquely emphasize people’s self-healing capacities and that encourage clients to understand themselves and to grow personally.

Psychodynamic Therapies

A group of therapies that focus on uncovering and understanding unconscious motives and conflicts as a path to symptom resolution.

Systematic Desensitization

A behavior therapy that treats anxiety by teaching the client to associate deep relaxation with increasingly intense anxiety-producing situations.