Determine the Equation of the Horizontal Asymptote for the Graph $f(x)=\left(\frac{1}{3}\right)^{x}-4$

Multiple Choice

Determine the equation of the horizontal asymptote for the graph of this function, and state the domain and range of thisfunction.
- $f(x) =\left(\frac{1}{3}\right) ^{x}-4$

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: $\mathrm{y}=\frac{1}{3}$ ;
Domain: $(-\infty, \infty)$ , Range: $\left(\frac{1}{3}, \infty\right)$
D) Horizontal asymptote: $\mathrm{y}=-4$ ;
Domain: $(-\infty, \infty)$ , Range: $(-4, \infty)$