Determine the Equation of the Horizontal Asymptote for the Graph $f(x)=e^{3 x}-1$

Multiple Choice

Determine the equation of the horizontal asymptote for the graph of this function, and state the domain and range of thisfunction.
- $f(x) =e^{3 x}-1$

A) Horizontal asymptote: $\mathrm{y}=1$ ;
Domain: $(-\infty, \infty)$ , Range: $(1, \infty)$
B) Horizontal asymptote: $\mathrm{y}=0$ ;
Domain: $(-\infty, \infty)$ , Range: $(0, \infty)$
C) Horizontal asymptote: $\mathrm{y}=3$ ;
Domain: $(-\infty, \infty)$ , Range: $(3, \infty)$
D) Horizontal asymptote: $\mathrm{y}=-1$ ;
Domain: $(-\infty, \infty)$ , Range: $(-1, \infty)$