Consider $f ( x ) = x ^ { 4 } - 6 x ^ { 2 }$

question 101

Essay

Consider $f ( x ) = x ^ { 4 } - 6 x ^ { 2 }$ .(a) Find the intervals on which f is increasing or decreasing.(b) Find the local maximum and minimum values of f.(c) Find the intervals of concavity and the inflection points.(d) Using the information in (a), (b), and (c) to sketch a graph of f.

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Definitions:

Operant Conditioning

An educational method where the intensity of a behavior is altered through rewards or penalties.

Social Conditioning

The process of training individuals in a society to respond in a manner generally approved by the society and its institutions.

Cultural Hegemony

The pervasive and excessive influence of one culture throughout society.

Examples

Concrete instances or cases that illustrate or explain a general concept, idea, or phenomenon.