Use Transformations to Graph the Function $$f ( x ) = 3 ^ { - x } + 4$$

question 10

Multiple Choice

Use transformations to graph the function. Determine the domain, range, and horizontal asymptote of the function.
- $$f ( x ) = 3 ^ { - x } + 4$$

• A) domain: \(( - \infty , \infty )\); range: \(( 4 , \infty )\) horizontal asymptote: \(\mathrm { y } = 4\)
• B) domain: \(( - \infty , \infty )\); range: \(( 3 , \infty )\) horizontal asymptote: \(\mathrm { y } = 3\)
• C) domain: \(( - \infty , \infty )\); range: \(( 3 , \infty )\) horizontal asymptote: \(y = 3\)
• D) domain: \(( - \infty , \infty )\); range: \(( 4 , \infty )\) horizontal asymptote: \(y = 4\)

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Definitions:

Merchantability

A warranty implied by law that goods sold are fit for the ordinary purpose for which such goods are used.

Webster v. Blue Ship Tea Room, Inc.

A legal case from Massachusetts in 1964 that centered around what constituted a "fish chowder," illustrating how courts interpret contractual obligations and representations in business.

Implied Warranty of Merchantability

An implicit guarantee that a product will meet a minimum level of quality and functionality as expected for goods of its kind.

Implied Warranty of Fitness

An assurance, not explicitly stated, that a product will meet a buyer's needs for a particular purpose.