Discontinuities and the Intermediate Value Theorem
Classifying discontinuities
Removable discontinuity
Jump discontinuity
Infinite discontinuity
Summary of discontinuity types
The Intermediate Value Theorem (IVT)
IVT logic flow
Using IVT to prove a root exists
IVT does NOT tell you
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IVT on the AP exam: required justification
Worked example with a table
Combining discontinuity analysis with IVT
AP exam patterns
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Vocabulary
Unit 1 topics
Unit 1 overview11.1 Introducing Calculus: Can Change Occur at an Instant?21.2 Defining Limits and Using Limit Notation31.3 Estimating Limit Values from Graphs41.4 Estimating Limit Values from Tables51.5 Determining Limits Using Algebraic Properties61.6 Determining Limits Using Algebraic Manipulation71.7 Selecting Procedures for Determining Limits81.8 Determining Limits Using the Squeeze Theorem91.9 Connecting Multiple Representations of Limits and Continuity101.10 Types of Discontinuities, Infinite Limits, and the IVT