# What are the asymptotes for g(x)=5^x?

The only asymptote is the $x$-axis: $\textcolor{red}{g \left(x\right) = 0}$
The range consists of all real numbers from zero to infinity, because ${5}^{x}$ is always positive.
As $x$ becomes increasingly negative, $g \left(x\right)$ gets increasingly closer to zero.
The $x$ axis or $\left(g\right) x = 0$ is the horizontal asymptote.