Determine All Critical Points for the Function $f ( x ) = x ^ { 3 } - 6 x ^ { 2 } + 9$

question 97

Multiple Choice

Determine all critical points for the function.
- $f ( x ) = x ^ { 3 } - 6 x ^ { 2 } + 9$

• A) \(x = 0\) and \(x = 2\)
• B) \(x = - 2\) and \(x = 2\)
• C) \(x = 0\)
• D) \(x = 0\) and \(x = 4\)

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Definitions:

Social Identity Theory

A psychological theory that examines the individual's sense of belonging to particular social groups and how it affects perceptions and behaviors.

Informal Groups

Naturally occurring groups within an organization, formed based on personal relationships or common interests rather than structured or organizational dictates.

Social Identity Theory

A psychological theory that examines the part of an individual's self-concept derived from perceived membership in a social group, influencing intergroup behavior.

Group Affiliations

The connections or associations an individual has with different groups, like social, professional, or religious organizations.