For the Function F, Construct and Simplify the Difference Quotient $\frac { f ( x + h ) - f ( x ) } { h }$

question 62

Multiple Choice

For the function f, construct and simplify the difference quotient $\frac { f ( x + h ) - f ( x ) } { h }$
- $f ( x ) = 9 | x | + 4 x$

• A) -3h
• B) \(\frac { 9 | x + h | - 4 h - 9 | x | } { h }\)
• C) -5h
• D) \(\frac { - 9 | x + h | - 5 h + 9 | x | } { h }\)

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Definitions:

Hedging Instruments

Financial contracts used to offset potential losses or gains that may be incurred by an companion investment, effectively reducing risk.

Options

Financial derivatives that give the buyer the right, but not the obligation, to buy or sell an asset at a set price within a specific timeframe.

Forward Contracts

Financial derivatives that represent agreements to buy or sell an asset at a predetermined future date and price.

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Agreements to buy or sell a particular commodity or financial instrument at a predetermined price at a specific time in the future.