This is a guided note sheet that covers the topic of vertical, horizontal and slant asymptotes. Although this is not a "fun" activity, I think at the PreCalculus level it is necessary to discuss mathematical topics that are thought provoking without clouding the concept. The flow of the lesson has students discuss with the teacher the hows and whys of each asymptote and is followed by how to graph rational functions without the aid of a graphing calculator. The lesson also includes how to determine if the graph cross the horizontal or slant asymptote, use of limits to determine the horizontal asymptote and conversation on how just one or two points can dictate where the graph is located. It usually takes me 5 days of 45 minute class to get through.