1. Entry Task Consider the function f(x):
Using the definition of continuity, answer the questions below:
Is f(x) continuous at x = 3?
Is f(x) continuous on the interval [0, 4]?

2. Day 4 - §1.5
Infinite Limits
AP Calculus BC
September 7, 2016

3. Review Assignment #3 Discuss Assignment #3 What questions do you have?
Did you solve the problems differently?

4. Learning Targets I can determine infinite limits of functions.
I can find and sketch vertical asymptotes of function graphs.
I used one-sided limits to determine infinite limits.

5. Infinite Limits What is the limit of f(x) as x approaches 1?
𝑦=𝑓 𝑥 = 3 𝑥−2
What is the limit of f(x) as x approaches 1?
What is the limit of f(x) as x approaches 2?

6. Infinite Limits
Determine the limit of each function below as x approaches 1 from the left and from the right.
𝑓 𝑥 = 1 (𝑥−1) 2
𝑓 𝑥 = −1 𝑥−1

7. Vertical Asymptotes
Determine all of the vertical asymptotes of the graphs of the following functions:
𝒓 𝒙 = 𝟏 𝟒(𝒙−𝟔)
𝒕 𝒙 = 𝒙 𝟑 +𝟐𝒙−𝟏 𝒙 𝟐 −𝟗

8. Vertical Asymptotes
Determine all of the vertical asymptotes of the following functions:
𝒃 𝒙 =𝒄𝒔𝒄(𝒙)
𝒘 𝒙 = 𝒙−𝟐 𝒙 𝟐 +𝟐𝒙−𝟖

9. Learning Targets I can determine infinite limits of functions.
I can find and sketch vertical asymptotes of function graphs.
I used one-sided limits to determine infinite limits.
I determined the vertical asymptotes of functions by analyzing the function rule.

10. Exit Ticket
Determine the vertical asymptotes
𝒇 𝒙 = 𝟒𝒙 𝟒− 𝒙 𝟐

11. Assignment #4 Due tomorrow Do §1.5 #19, 27, 43, 65, 73, 76
Due by September 9 (Friday)
signed syllabus page