Use Transformations to Graph the Function $$f ( x ) = 2 ^{( x - 3 )}$$

question 72

Multiple Choice

Use transformations to graph the function. Determine the domain, range, and horizontal asymptote of the function.
- $$f ( x ) = 2 ^{( x - 3 ) }$$

• A) domain: \(( - \infty , \infty )\); range: \(( 0 , \infty )\) horizontal asymptote: \(\mathrm { y } = 0\)
• B) domain: \(( - \infty , \infty )\); range: \(( 0 , \infty )\) horizontal asymptote: \(\mathrm { y } = 0\)
• C) domain: \(( - \infty , \infty )\); range: \(( - \infty , 0 )\) horizontal asymptote: \(\mathrm { y } = 0\)
• D) domain: \(( - \infty , \infty )\); range: \(( - \infty , 0 )\) horizontal asymptote: \(\mathrm { y } = 0\)

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Definitions:

Target D/E Ratio

The desired debt-to-equity ratio that a company aims to achieve to optimize its capital structure.

Residual Dividend Policy

Residual Dividend Policy is a strategy where a company pays dividends out of the residual or leftover equity only after all project capital needs are met.

Dividend Irrelevance Theory

Holds that dividend policy has no effect on either the price of a firm’s stock or its cost of capital.

Shareholders

Shareholders are individuals or entities that own one or more shares of stock in a public or private corporation, granting them certain rights such as voting on corporate matters and receiving dividends.