Use Transformations to Graph the Function $$f ( x ) = - 2 ^ { x + 3 } + 4$$

question 38

Multiple Choice

Use transformations to graph the function. Determine the domain, range, and horizontal asymptote of the function.
- $$f ( x ) = - 2 ^ { x + 3 } + 4$$

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

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