How do you find the asymptotes in general??

Question

For example... f(x)=(1/2)^x, how would I find that?

Answer 1

As x-> infinity, each time you multiply (1/2) by itself a larger number of x times, the result gets closer to zero. Zero is therefore the asymptote,

Answer 2

In most cases, just examine what happens to f(x) as x goes to infinity or -infinity