1. Do Now: Explain what an asymptote is in your own words.
Explain what end behavior is in your own words.

2. Learning Targets Describe end behavior of rational functions
Describe behavior around points of discontinuity

3. Share your definitions with a neighbor:
Asmpytote:
End behavior:

4. 1. End behavior of rational functions
What is the function doing on its extremes?
Look at graphs:
Approaches horizontal asymptote!
End behavior:

5. You do:
Describe the end behavior of the following functions:

6. 2. Behavior around vertical asymptotes
Where is function going as it gets close to my asymptote?
Infinity or negative infinity
Look at graphs:
To find behavior around vertical asymptotes, test points on both sides of asymptotes.

7. 2. Behavior around vertical asymptotes
To find behavior around vertical asymptotes, test points- that are very close to value of asymptote- on both sides.
Use this form:
Example:
From the right
From the left

8. Example:
Describe the behavior around the points of discontinuity:

9. Practice: On worksheet, do first row only.
Raise hand to have me check your work, then you may continue to finish the problems.