2. Disappearing Asymptotes The Visual Answers

3. Disappearing Asymptotes: Consider the graph of the function defined by:

5. And then, the graph of the function defined by:

6. hole in the graph!

7. Again: hole in the graph!

8. Now consider: GRAPHICALLY !

9. Consider the graph of a series of rational functions with denominator of the form x – a, where 1 < a < 2. Keep your eye on: 1) the position of the vertical asymptote 2) the diagonal distance between the two “halves” of the graph.

22. hole in the graph!

23. Extension: What would happen if we explored the same relationship from the left side of the asymptote? i.e. How would the graph change, etc.?