# How do you find the vertical, horizontal or slant asymptotes for g(x)=5^x?

Apr 2, 2016

The asymptote is the horizontal x-axis y = g(x) =0, in the negative x-direction.

#### Explanation:

y = g(x) = ${5}^{x} > 0$.

The graph is exponential.

As $x \to - \infty , y \to 0.$
As $x \to \infty , y \to \infty .$.
The x-axis in the negative direction is asymptotic to the curve.

The graph meets y-axis at (0, 1).