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]?

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

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

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.

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?

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

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

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

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.

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

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