Unit G Summary Questions # 4 Verticle Asymptotes vs. Holes

What is the difference between a graph having a verticle asymptote and a graph having a hole?

The main difference in a graph having a verticle asympotote and one having a hole is that ones factors cancel and the other ones don't. For example in a verticle asymptote you must factor both the top (numerator) and the bottom (denominator). Then after factoring them you have to see if the factors cancel, if they do it becomes a hole. Now if it factors don't cancel it will just be a verticle asymptote, meaning without holes. Another difference is that having holes will just mean more points other than the three you need on the graph.