Solve the Problem $f ( x ) = x ( x - 2 ) ( x - 1 ) ^ { 2 }$

question 31

Multiple Choice

Solve the problem.
-Which of the following polynomial functions might have the graph shown in the illustration below?

• A) \(f ( x ) = x ( x - 2 ) ( x - 1 ) ^ { 2 }\)
• B) \(f ( x ) = x ( x - 2 ) ^ { 2 } ( x - 1 )\)
• C) \(f ( x ) = x ^ { 2 } ( x - 2 ) ( x - 1 )\)
• D) \(f ( x ) = x ^ { 2 } ( x - 2 ) ^ { 2 } ( x - 1 ) ^ { 2 }\)

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Definitions:

Price Discrimination

A pricing strategy where identical or substantially similar goods or services are sold at different prices by the same provider in different markets or to different customers.

Natural Monopoly

A market condition in which a single firm can supply a product or service to an entire market at a lower cost than could two or more firms, often due to economies of scale.

Price Elasticity

The degree to which the quantity demanded of a good changes in response to a change in its price.

Marginal Cost

The financial impact of producing another unit of a product or service.