The document discusses continuous functions and discontinuities. It begins with asking what a continuous function is and giving an example. It then covers different types of discontinuities like removable discontinuities which can be made continuous by redefining the domain, and non-removable discontinuities which cannot be made continuous. The document also mentions the intermediate value theorem and that it is used to find zeros of a function and prove a function has a zero.

1. Warm up
• What is a continuous function?
• Give one example of a continuous function?
• Why is the limit of a continuous function so
special?

2. The Lame Joke of the day..
What do you call a BEE that is having a
bad hair day?
And now it’s time for..
Frisbee!

3. Discontinuities

4. P. 94

5. Types of discontinutities
• Removable discontinuity: The function can be made
continuous by redefining the functions domain (
HOLES)
• Non-removable discontinuity: The function cannot
be made continuous ( breaks)

6. One-sided limits

7. Intermediate Value Theorem
pg 77

8. Intermediate Value Theorem
pg 77
Used to find the zeros of a function, and prove that there is a
zero of a function.