Use a Graphing Utility to Graph the Function Over the Indicated

question 276

Multiple Choice

Use a graphing utility to graph the function over the indicated interval and approximate any local maxima and local
minima. If necessary, round answers to two decimal places.
- $$f ( x ) = x ^ { 3 } - 12 x + 2 ; ( - 5,5 )$$

• A) local maximum at \(( - 2,18 )\)
• local minimum at \(( 0,0 )\)
• local minimum at \(( 2 , - 14 )\)
• B) local minimum at \(( 0,0 )\)
• C) local maximum at \(( - 2,18 )\)
• local minimum at \(( 2 , - 14 )\)
• D) none

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Definitions:

Government Failure

Government failure occurs when government intervention in the economy creates inefficiencies or leads to an allocation of resources that is worse than what the market would have produced on its own.

Public Goods

Goods that are non-excludable and non-rivalrous, meaning they can be consumed by everyone and one person's consumption doesn't reduce availability for others.

Quasi-Public Goods

Quasi-public goods are those that exhibit some characteristics of a public good such as non-excludability and non-rivalry but do not fully meet these criteria, often because they can be provided privately for a fee.

Optimal Amount

The quantity of production or consumption that maximizes efficiency or utility under given constraints.