For the Function : (A) Find the Critical Numbers

question 20

Multiple Choice

For the function : (a) Find the critical numbers of f (if any) ;
(b) Find the open intervals where the function is increasing or decreasing; and
(c) Apply the First Derivative Test to identify all relative extrema.
Then use a graphing utility to confirm your results.

• A)(a) x = 0 , 4 (b) increasing: ; decreasing: (c) relative max: ; relative min:
• B)(a) x = 0 , 4 (b) decreasing: ; increasing: (c) relative min: ; relative max:
• C)(a) x = 0 , 1 (b) increasing: ; decreasing: (c) relative max: ; relative min:
• D)(a) x = 0 , 1 (b) decreasing: ; increasing: (c) relative min: ; relative max:
• E)(a) x = 0 , 1 (b) increasing: ; decreasing: (c) relative max: ; no relative min.

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Definitions:

Historical Price Patterns

The analysis of past price movements to forecast future price behavior in financial markets.

Market Efficiency

A market characteristic where prices fully reflect all available information, making it impossible to consistently achieve higher returns.

Arbitrage Opportunities

The chance to buy an asset at a low price in one market and sell it at a higher price in another, exploiting the price difference for profit.

Real Asset Markets

Markets that deal with physical assets like real estate, commodities, and natural resources, as opposed to financial assets.