# Continuity of Functions

# Continuity of Functions Table of Contents

Continuity of Functions

Topics

Continuity of Functions Examples

Continuity of Functions Exercises

Continuity at a Point

Continuity at a Point Help

Continuity at a Point via Pictures

Continuity at a Point via Pictures Help

Continuity at a Point via Pictures Examples

Continuity at a Point via Formulas

Continuity at a Point via Formulas Help

Continuity at a Point via Formulas Examples

Continuity at a Point via Formulas Exercises

Functions and Combinations of Functions

Functions and Combinations of Functions Help

Functions and Combinations of Functions Examples

Continuity on an Interval

Continuity on an Interval Help

Continuity on an Interval via Pictures

Continuity on an Interval via Pictures Help

Continuity on an Interval via Pictures Exercises

Continuity on an Interval via Formulas

Continuity on an Interval via Formulas Help

Continuity on an Interval via Formulas Examples

Continuity on an Interval via Formulas Exercises

Continuity on Closed and Half-Closed Intervals

Continuity on Closed and Half-Closed Intervals Help

Continuity on Closed and Half-Closed Intervals Examples

Continuity on Closed and Half-Closed Intervals Exercises

Determining Continuity

Determining Continuity Help

Determining Continuity Examples

The Informal Version

The Informal Version Help

The Informal Version Examples

The Informal Version Exercises

The Formal Version

The Formal Version Help

The Formal Version Examples

Topics

Continuity of Functions Examples

Continuity of Functions Exercises

Continuity at a Point

Continuity at a Point Help

Continuity at a Point via Pictures

Continuity at a Point via Pictures Help

Continuity at a Point via Pictures Examples

Continuity at a Point via Formulas

Continuity at a Point via Formulas Help

Continuity at a Point via Formulas Examples

Continuity at a Point via Formulas Exercises

Functions and Combinations of Functions

Functions and Combinations of Functions Help

Functions and Combinations of Functions Examples

Continuity on an Interval

Continuity on an Interval Help

Continuity on an Interval via Pictures

Continuity on an Interval via Pictures Help

Continuity on an Interval via Pictures Exercises

Continuity on an Interval via Formulas

Continuity on an Interval via Formulas Help

Continuity on an Interval via Formulas Examples

Continuity on an Interval via Formulas Exercises

Continuity on Closed and Half-Closed Intervals

Continuity on Closed and Half-Closed Intervals Help

Continuity on Closed and Half-Closed Intervals Examples

Continuity on Closed and Half-Closed Intervals Exercises

Determining Continuity

Determining Continuity Help

Determining Continuity Examples

The Informal Version

The Informal Version Help

The Informal Version Examples

The Informal Version Exercises

The Formal Version

The Formal Version Help

The Formal Version Examples

The Formal Version Exercises

Properties of Continuous Functions

Properties of Continuous Functions Help

Boundedness

Boundedness Help

Boundedness Examples

Boundedness Exercises

Extreme Value Theorem

Extreme Value Theorem Help

Extreme Value Theorem Examples

Extreme Value Theorem Exercises

Intermediate Value Theorem

Intermediate Value Theorem Help

Intermediate Value Theorem Examples

Intermediate Value Theorem Exercises

In the Real World

In the Real World Help

Page: I Like Abstract Stuff; Why Should I Care?

Page: I Like Abstract Stuff; Why Should I Care? Help

Page: How to Solve a Math Problem

Page: How to Solve a Math Problem Help

Appendix: Intervals and Interval Notation

Appendix: Intervals and Interval Notation Help

Terms

Best of the Web

Module Quizzes

Module Flashcards

Quiz 1

Quiz 1 Flashcards

Quiz 1 True or False

Quiz 2

Quiz 2 Flashcards

Quiz 2 True or False

Quiz 3

Quiz 3 Flashcards

Quiz 3 True or False

Handouts

Properties of Continuous Functions

Properties of Continuous Functions Help

Boundedness

Boundedness Help

Boundedness Examples

Boundedness Exercises

Extreme Value Theorem

Extreme Value Theorem Help

Extreme Value Theorem Examples

Extreme Value Theorem Exercises

Intermediate Value Theorem

Intermediate Value Theorem Help

Intermediate Value Theorem Examples

Intermediate Value Theorem Exercises

In the Real World

In the Real World Help

Page: I Like Abstract Stuff; Why Should I Care?

Page: I Like Abstract Stuff; Why Should I Care? Help

Page: How to Solve a Math Problem

Page: How to Solve a Math Problem Help

Appendix: Intervals and Interval Notation

Appendix: Intervals and Interval Notation Help

Terms

Best of the Web

Module Quizzes

Module Flashcards

Quiz 1

Quiz 1 Flashcards

Quiz 1 True or False

Quiz 2

Quiz 2 Flashcards

Quiz 2 True or False

Quiz 3

Quiz 3 Flashcards

Quiz 3 True or False

Handouts