Determine Where the Graph of the Function $f(x)=9 x-\sqrt{4-x^{2}}$ Is Concave Upward and Where It Is Concave Downward

question 49

Multiple Choice

Determine where the graph of the function $f(x) =9 x-\sqrt{4-x^{2}}$ is concave upward and where it is concave downward. Also, find all inflection points of the function.

• A) CU on \((-2,2)\) ,
• IP none
• B) CU on \((-\infty,-2)\) and \((2, \infty)\) , CD on \((-2,2)\) ,
• IP \((-2,-18)\) and \((2,18)\)
• C) CD on \((-2,2)\) ,
• IP none
• D) CU on \((-2,2)\) , CD on \((-\infty,-2)\) and \((2, \infty)\) ,
• IP \((-2,-18)\) and \((2,18)\)

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Definitions:

Restless Leg Syndrome

A neurological disorder characterized by an irresistible urge to move the legs, often accompanied by uncomfortable sensations.

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A group in an experiment or study that does not receive the experimental treatment, used as a baseline to compare the effects of the treatment.

Significant Relief

A substantial decrease in discomfort or distress, often measured in medical or therapeutic settings.

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