Sketch the Graph and Show All Local Extrema and Inflection $= - x ^ { 4 } + 2 x ^ { 2 } - 10$

question 46

Multiple Choice

Sketch the graph and show all local extrema and inflection points.
-y $= - x ^ { 4 } + 2 x ^ { 2 } - 10$

• A) Absolute maxima: \(( - 1 , - 9 ) , ( 1 , - 9 )\) Inflection points: \(\left( - \sqrt { \frac { 1 } { 3 } } , 1 \right) , \left( \sqrt { \frac { 1 } { 3 } } , 1 \right)\)
• B) Absolute maxima: \(( - 1 , - 9 ) , ( 1 , - 9 )\) Local minimum: \(( 0 , - 10 )\) No inflection points
• C) Absolute minima: \(( - 1,9 ) , ( 1,9 )\) Inflection point: \(\left( - \sqrt { \frac { 1 } { 3 } } , \frac { 85 } { 9 } \right) , \left( \sqrt { \frac { 1 } { 3 } } , \frac { 85 } { 9 } \right)\)
• D) Absolute maxima: \(( - 1 , - 9 ) , ( 1 , - 9 )\) Local maximum: \(( 0,10 )\) Local minimum: \(( 0 , - 10 )\) Inflection points: \(\left( - \sqrt { \frac { 1 } { 3 } } , 1 \right) , \left( \sqrt { \frac { 1 } { 3 } } , 1 \right)\)

Discuss the relationship between leadership and formal authority positions.

Critique the ethical considerations and potential risks associated with charismatic leadership.

Recognize the importance of creating resonance and emotional connections between leaders and followers.

Understand the concept and purpose of closing entries in accounting.

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Definitions:

Schizophrenia

A severe mental disorder characterized by distorted thinking, perceptions, emotions, language, sense of self, and behavior.

Alcoholism

A pattern of behavior in which a person repeatedly abuses or depends on alcohol. Also known as alcohol use disorder.

Suicidal Ideation

The consideration or contemplation of ending one's own life, which can range from fleeting thoughts to detailed planning.

Alcohol Abuse

Excessive drinking leading to health problems and negative social, emotional, or legal consequences.