Question

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

Answer 1

The only asymptote is the `x`-axis: `color(red)(g(x)=0)`

The domain consists of all real numbers.

The range consists of all real numbers from zero to infinity, because `5^x` is always positive.

As `x` becomes increasingly negative, `g(x)` gets increasingly closer to zero.

The `x` axis or `(g)x=0` is the horizontal asymptote.