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

question 15

Short Answer

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.

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Definitions:

Negative Externalities

Unintended and unfavorable side effects of an economic activity that affect third parties not involved in the activity.

Majority Voting

A voting system where decisions are made based on the preference of more than half of the votes cast, commonly used in elections and organizational decision-making.

Moderately Priced Bouquet

A flower arrangement that is priced at a level considered reasonable or average, not too expensive or too cheap.

Expensive Bouquet

Refers to a collection of flowers that has a high price, often due to its quality, rarity, or the occasion it is meant for.