Identify Which of the Twelve Basic Functions Listed Below Fit $y = x ^ { 2 } , y = x ^ { 3 } , y = \sin x , y = \cos x$

question 162

Multiple Choice

Identify which of the twelve basic functions listed below fit the description given.
-The four functions with local minima

• A) \(y = x ^ { 2 } , y = x ^ { 3 } , y = \sin x , y = \cos x\)
• B) \(y = \sqrt { x } , y = \sin x , y = \cos x , y = x ^ { 2 }\)
• C) \(y = x ^ { 2 } , y = \sin x , y = \cos x , y = | x |\)
• D) \(y = \sin x , y = \cos x , y = | x | , y = \frac { 1 } { 1 + e ^ { - x } }\)

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Public Good

A good that is non-excludable and non-rivalrous, meaning it can be used by many people simultaneously without reducing the amount available to others.

Market Failure

A situation in which a market left on its own fails to allocate resources efficiently.

Free-Ride

A situation in which an individual benefits from resources, goods, or services without contributing to the cost.

Private Markets

Markets where transactions occur directly between parties without public exchange involvement, often characterized by less regulation.