06 - Continuous Functions

What does it mean to say that a function is continuous?

Practice

1.4 # 1,3,11,17,41,57

Vocabulary

Removable discontinuity, Non-removable discontinuity

Study Questions

1. What does it mean for a function to be continuous? Conditions?
2. How do you evaluate one sided limits? Give an example.
3. What is a removable/ non-removable discontinuity?
4. How can you check the continuity of a function at a point? Find the value of c that makes a piecewise defined function continuous.

Resources

1. Video: Limits to define continuity
2. Video: Types of discontinuities
3. Slide Deck: Lesson-06-Continuity