Question

How do you find the asymptotes for `y= 2^x`?

Answer 1

There will be no vertical asymptote, because `x` may have any value.

Explanation:

For the horizontal asymptote we look at what happens if `x` gets larger and larger, both positive and negative:

`x->+oo` then `y->+oo` means no asymptote

`x->-oo` then `y->0` so `y=0` is an asymptote

e.g. `x=-10->y=1/1024` and `x=-20->y=1/1048576`
graph{2^x [-16.02, 16.01, -8.01, 8.01]}