Find the Extreme Values of the Function and Where They $$y = x ^ { 3 } - 12 x + 2$$

question 133

Multiple Choice

Find the extreme values of the function and where they occur.
- $$y = x ^ { 3 } - 12 x + 2$$

• A) Local maximum at \(( - 2,18 )\), local minimum at \(( 2 , - 14 )\).
• B) Local maximum at \(( 2 , - 14 )\), local minimum at \(( - 2,18 )\).
• C) None
• D) Local maximum at \(( 0,0 )\).

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Definitions:

Needs Hierarchy

A theory by Abraham Maslow that suggests human needs are arranged in a hierarchy from most to least pressing, influencing motivation and behavior.

Needs Cluster

A group of needs that are related or similar, often used in psychology to understand complex human motivations.

Needs Categories

The classification of human necessities and desires into a hierarchy or specific groupings, such as Maslow's hierarchy of needs.

ERG Theory

A motivational theory developed by Clayton Alderfer that outlines three core human needs: Existence, Relatedness, and Growth.