Unit G Summary Question #4 Vertical Asymptotes and Holes

4. What is the difference between a graph having a vertical asymptote and a graph having a hole?

• A graph having a vertical asymptote are simply the borderline where the graph will not pass through or even touch at all. A graph will a hole is similar, the point that is a hole does not exists on the graph. The point that represent the holes derive from the the same factorization of finding the vertical asymptote. When factors cancel when finding a vertical asymptote, those factors are then equaled to zero. That will give you the x-value. In order to find the y-value, we must plug in the point separately  to the simplified factored equation. So the hole on the graph are pints the graph does not touch.