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ap calculus ab/bc - discontinuity types & analysis

originally streamed in 2019 with Jerry KosoffTeacher
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Learn the three types of discontinuities in AP Calculus AB/BC: removable, jump, and infinite. This video breaks down how to identify each type on graphs and in equations, helping you understand continuity concepts for your AP exam. This 56-minute se ...more

covered in this stream

units
Unit 1 – Limits and Continuity
topics
1.11 Defining Continuity at a Point1.10 Exploring Types of Discontinuities1.12 Confirming Continuity over an Interval1.13 Removing Discontinuities1.14 Connecting Infinite Limits and Vertical Asymptotes

timestamps

  • 0:00

    Welcome and Introduction

  • 0:32

    Announcements and Swag Giveaway

  • 1:02

    Tonight's Topics Overview

  • 1:35

    Types of Discontinuity

  • 2:36

    Continuity Definition Review

  • 3:48

    Graph Continuity Examples

  • 4:51

    Discontinuity at Points

  • 5:22

    Piecewise Function Example

  • 6:57

    Solving for K

  • 8:35

    Revealing Answer

  • 9:36

    K Equals One Half

  • 10:39

    Confidence Check

  • 11:09

    Jump Discontinuity

  • 12:41

    Asymptote Discontinuity

  • 13:42

    Removable Discontinuity

  • 14:44

    Recap of Discontinuity Types

  • 15:56

    Identifying Discontinuity Example

  • 18:00

    Reveal Graph Answers

  • 18:31

    Algebraic Practice Introduction

  • 19:34

    Fixing Removable Discontinuity

  • 21:07

    Redefining Piecewise Functions

  • 22:40

    Limits in Piecewise

  • 24:12

    Rational Functions and Holes

  • 25:45

    Factoring Rational Example

  • 27:52

    Simplifying Expressions

  • 29:26

    Another Rational Example

  • 31:36

    Points of Discontinuity

  • 33:53

    Factoring and Evaluation

  • 35:26

    Domain Issues Explained

  • 36:59

    Absolute Value Function Example

  • 40:57

    Absolute Value as Piecewise

  • 42:31

    Graph and Explanation

  • 44:34

    Lesson Recap

  • 45:37

    Swag Winners Announced

  • 46:07

    Q&A Session

  • 47:33

    Exam Question Types

  • 49:07

    Reviewing Solve for K

  • 50:49

    Continuity Conditions

  • 52:54

    Absolute Value Key Ideas

  • 55:32

    Final Questions and Thanks

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social science

āœŠšŸæ ap african american studiesšŸ—³ļø ap comparative government🚜 ap human geographyšŸ’¶ ap macroeconomicsšŸ¤‘ ap microeconomics🧠 ap psychologyšŸ‘©šŸ¾ā€āš–ļø ap us government

english & capstone

āœšŸ½ ap english languagešŸ“š ap english literaturešŸ” ap researchšŸ’¬ ap seminar

arts

šŸŽØ ap art & designšŸ–¼ļø ap art historyšŸŽµ ap music theory

science

🧬 ap biology🧪 ap chemistryā™»ļø ap environmental sciencešŸŽ” ap physics 1🧲 ap physics 2šŸ’” ap physics c: e&māš™ļø ap physics c: mechanics

math & computer science

🧮 ap calculus abā™¾ļø ap calculus bcšŸ“ ap precalculusšŸ“Š ap statisticsšŸ’» ap computer science aāŒØļø ap computer science p

world languages

šŸ‡ØšŸ‡³ ap chinesešŸ‡«šŸ‡· ap frenchšŸ‡©šŸ‡Ŗ ap germanšŸ‡®šŸ‡¹ ap italianšŸ‡ÆšŸ‡µ ap japanesešŸ›ļø ap latinšŸ‡ŖšŸ‡ø ap spanish languagešŸ’ƒšŸ½ ap spanish literature

go beyond AP

high school exams

āœļø PSATšŸŽ“ Digital SATšŸŽ’ ACT

honors classes

šŸ¬ honors algebra IIšŸ«€ honors anatomyšŸ‡ honors biologyšŸ‘©šŸ½ā€šŸ”¬ honors chemistryšŸ’² honors economicsšŸ“ honors geometryāš¾ļø honors physicsšŸ“ honors pre-calculusšŸ“Š honors statisticsšŸ—³ļø honors us governmentšŸ‡ŗšŸ‡ø honors us historyšŸŒŽ honors world history

college classes

šŸ‘©šŸ½ā€šŸŽ¤ artsšŸ‘” businessšŸŽ¤ communicationsšŸ—ļø engineeringšŸ““ humanitiesāž— mathšŸ§‘šŸ½ā€šŸ”¬ sciencešŸ’¶ social science

hs classes

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APĀ® and SATĀ® are trademarks registered by the College Board, which is not affiliated with, and does not endorse this website.