Estimate the Extreme Values of the Function $$y ( x ) = \frac { 1 } { 3 } x ^ { 3 } - 7 x ^ { 2 } + 40 x + 15$$

question 82

Short Answer

Estimate the extreme values of the function. Round the answers to the nearest hundredth.
$$y ( x ) = \frac { 1 } { 3 } x ^ { 3 } - 7 x ^ { 2 } + 40 x + 15$$

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Definitions:

Major Depressive Disorder

A mental health disorder characterized by persistently depressed mood or loss of interest in activities, causing significant impairment in daily life.

Depressed Mood

A persistent feeling of sadness or a lack of interest in external stimuli, contributing significantly to the diagnosis of depression.

Dysthymic Disorder

A chronic form of depression characterized by a low mood over a long period.