1. Today in Pre-Calculus Go over homework.
Notes: Asymptotes and End Behavior
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Homework
Quiz: Tuesday, September 22

2. Asymptotes
Asymptotes: vertical or horizontal lines the graph of a function does not cross
This graph has:
two vertical asymptotes at x=-1 and x=2
one horizontal asymptote at y=0 as x approaches -∞,∞

3. End Behavior
Used to describe the behavior of a graph as x approaches ∞ and -∞.
Describes what is happening to y-values at the left and right ends of the graph.
Limit notation is used to describe end behavior:
In the example:

4. Example 1
End behavior:
Asymptotes:
Horizontal: y=1
Vertical: x=2

5. Example 2
End behavior:
Asymptotes: Vertical: x=2, x=-2

6. Example 3
End behavior:
Asymptotes: Horizontal y=2

7. Example 4 End behavior: Asymptotes: Horizontal y=-2 Vertical: x=1.731

8. Example 5
End behavior:
Asymptotes:
Horizontal y=2, y=-4
Vertical: x=0

9. Homework
Wkst.