Continuity
5826 views
|
2
ratings
Lesson Description:
Definition of continuity at a point. Continuity of polynomials, rational functions, and trigonometric functions. Left and right continuity. Continuity on an interval.
Copyright 2005, Department of Mathematics, University of Houston. Created by Selwyn Hollis. Find more information on videos, resources, and lessons at http://online.math.uh.edu/HoustonACT/videocalculus/index.html.
Additional Resources:
- Continuity at a point - Practice finding continuity at a point.
- Continuity on an Interval - Practice finding continuity on an interval.
- One-Sided Continuity - Practice finding one-sided continuity.
- The intermediate value theorem - Practice with the Intermediate Value Theorem.
- Boundedness; The Extreme Value Theorem - Practice with boundedness and the Extreme Value Theorem.
Questions answered by this video:
- What is the definition of continuity?
- When is a function continuous?
- What is a discontinuity?
- What is a jump discontinuity?
- What is an infinite discontinuity?
- What is a vertical asymptote?
- What is a removable discontinuity?
- When are polynomials continuous?
- When are rational functions continuous?
- When are sin and cos continuous?
- What are the rules of limits of compositions?
- What is one-sided continuity?
- What is the Intermediate Value Theorem?
- What is the Extreme Value Theorem?
-
Staff Review
This video does a great job of explaining clearly and plainly what it means for a function and a graph to be continuous. Again, several examples are stepped through and explained. Discontinuities are explained and defined as well. Many important theorems and corollaries are explained. A very complete lesson.
