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

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: $( 4 , \infty )$