Use Rolle's Theorem to Show That F(x) = 2x³

question 304

Essay

Use Rolle's Theorem to show that f(x) = 2x³ + 2x - 6 does not have more than one real root.

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Definitions:

Market Share

The portion of a market controlled by a particular company or product, often expressed as a percentage of total sales in that market.

Foreign Competition

The presence and impact of producers from other countries competing in a domestic market.

Anticompetitive Monopolist

A single seller in a market who uses their dominant position to prevent or reduce competition through unfair practices.

Antitrust Laws

Regulations established by governments to prevent large businesses from monopolizing certain markets, ensuring fair competition.