If you have a reciprocal function in your problem, first thing you have to graph is the asymptotes. If you get y = 1/x that means you get a asymptotes of x=0, y=0. If you have y = 1/x-2, that means you have x=2, y=0 asymptotes. Although some graph functions have square under 1. For example, y= 1/x^2 is totally different from y = 1/x. It has a weird graph but same asymptotes. It is easy to find asymptotes because all you do is finding how to make that equation to 0. The graph will never pass the asymptotes but it will show the limitation of the graph it can reach. If you have other number instead of 1, It will make the graph more thinner or thicker. It all depends on the number you get.