Unit G Summary Question 5: Crossing through Assymptotes

5. Describe the conditions in which a graph can cross through an assymptote. 
For each of the asymptotes there are conditions in which you know that they can or can't cross through a graph. In Horizontal asymptotes, graphs can sometimes cross the graph but only in the middle of the graph. The graphs can never cross at the far left or far right of the horizontal asymptote. Slant asymptotes also have the same conditions for the graph, they can cross but only towards the middle of the asymptote. As for vertical asymptotes, vertical asyptotes, the graph are never to cross the asymptote. To sum it up, Horizontal and slant asymptotes are able to have graphs that cross through there asymptote but vertical asymptotes should never cross ways!

Vertical Asymptotes Never Cross!!!!