Determine the Equation of the Horizontal Asymptote for the Graph $$f ( x ) = e ^ { 3 x } - 4$$

question 79

Multiple Choice

Determine the equation of the horizontal asymptote for the graph of this function, and state the domain and range of
this function.
- $$f ( x ) = e ^ { 3 x } - 4$$

• A) Horizontal asymptote: \(\mathrm { y } = 0\);
• Domain: \(( - \infty , \infty )\), Range: \(( 0 , \infty )\)
• B) Horizontal asymptote: \(\mathrm { y } = - 4\);
• Domain: \(( - \infty , \infty )\), Range: \(( - 4 , \infty )\)
• C) Horizontal asymptote: \(\mathrm { y } = 3\);
• Domain: \(( - \infty , \infty )\), Range: \(( 3 , \infty )\)
• D) Horizontal asymptote: \(\mathrm { y } = 4\);
• Domain: \(( - \infty , \infty )\), Range: \(( 4 , \infty )\)

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