Determine Where the Graph of the Function $f ( x ) = x ^ { 3 } - 6 x$

question 3

Multiple Choice

Determine where the graph of the function $f ( x ) = x ^ { 3 } - 6 x$ is concave upward and where it is concave downward. Also, find all inflection points of the function.

• A) \(\mathrm { CU }\) on \(( \sqrt { 2 } , \infty ) , \mathrm { CD }\) on \(( - \infty , \sqrt { 2 } )\),
• IP \(( \sqrt { 2 } , - 4 \sqrt { 2 } )\)
• B) \(\mathrm { CU }\) on \(( - \sqrt { 2 } , \sqrt { 2 } ) , \mathrm { CD }\) on \(( - \infty , - \sqrt { 2 } )\) and \(( \sqrt { 2 } , \infty )\)
• IP \(( - \sqrt { 2 } , 4 \sqrt { 2 } )\) and \(( \sqrt { 2 } , - 4 \sqrt { 2 } )\)
• C) \(\mathrm { CU }\) on \(( 0 , \infty ) , \mathrm { CD }\) on \(( - \infty , 0 )\),
• IP \(( 0,0 )\)
• D) \(\mathrm { CU }\) on \(( - \sqrt { 2 } , \infty ) , \mathrm { CD }\) on \(( - \infty , - \sqrt { 2 } )\),
• IP \(( - \sqrt { 2 } , 4 \sqrt { 2 } )\)

Identify the types and effects of power in organizational settings.

Comprehend the role of dependency in power dynamics.

Understand the influence of power and politics on organizational behavior.

Recognize the significance of the iron law of responsibility in balancing power.

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Definitions:

Ethnically Biased

Prejudice or favoritism towards or against a particular ethnicity, often resulting in unfair treatment.

Vision Impairments

A range of conditions that affect the ability to see, ranging from partial sight to blindness.

Dysphemism

The use of derogatory or unpleasant terms instead of neutral ones to convey a negative attitude towards the subject.

Goodwill

The intangible asset that represents the value of a business's reputation, brand, and customer relationships.