What is a Continuous Function?
What makes a function continuous? What does that mean? Let's discuss the definition of a continuous function and then show some examples.
00:04 - Defining a Continuous Function
01:11 - Ex 1, Finding Discontinuities
02:44 - Continuous on Domains
05:28 - Making New Continuous Functions
05:54 - Ex 2, Where is g(x) Continuous?
Hey! I’m Dr. John Estes, Associate Professor of Mathematics at Belhaven University. I have been teaching mathematics professionally since 2008, and I love helping students understand the wonderful world of mathematics more.
I’ve made these videos as a resource for students, and I hope they help you with your studies. Thanks for watching! SUBSCRIBE for updates and connect with me on Facebook! / johnestesmath
WHAT ELSE YOU NEED TO KNOW:
1. What is a Limit? An Example in Mathematica:
• What is a Limit? An Example in Mathematica
2. Limits from the Left and Right:
• How to find Left and Right Handed Limits
3. Solving Limits with Algebra:
• Solving Limits with Algebra
4. The Intermediate Value Theorem and Application:
• What is the Intermediate Value Theorem?
YOU MAY FIND THIS INTERESTING:
1. Slopes of Secant and Tangent Lines in Mathematica:
• Slopes of Secant and Tangent Lines in Math...
2. How to Find a Value to Make a Function Continuous?
• How to Find a Value to Make a Function Con...
3. What is a Derivative? Derivatives Explained:
• What is a Derivative? Derivatives Explained
4. How to Know if a Derivative Exists:
• How to Know if a Derivative Exists
ALL OF MY CALCULUS VIDEOS:
https://www.youtube.com/channel/UCi2m...
---------------------------------------------------------------------------------------------------------------------------------------------------------
Chordal meander 4 provided by Sub-d found free to download on Freesound.org https://freesound.org/people/Sub-d/so...
Synth arepegio delay provided by quetzalcontla found free to download on Freesound.org. https://freesound.org/people/quetzalc...