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Continuity and the intermediate value theorem · AP Calculus AB · Courselo

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Calc AB
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Unit 1: Limits and continuity

Continuity and the intermediate value theorem

Unit 1: Limits and continuity · Lesson 5 of 5

Lesson 5 of 5

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Unit 1

Unit 1: Limits and continuity

5 lessons · 7 h 45 min of study

Average and instantaneous rates of change1 h 15 min of study
Limits from graphs and tables1 h 15 min of study
Algebraic limits and manipulation2 h of study
Infinite limits and asymptotic behavior1 h 30 min of study
Continuity and the intermediate value theoremReading · 0%

This unit is ≈11% of the Calc AB, across 5 lessons. Full syllabus

Lesson 5 of 5 · Unit 1: Limits and continuity

Continuity and the intermediate value theorem

3 quick checks≈2% of the testCore: Core: tested on most papers

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By the end you’ll be able to

Determine whether a function is continuous at a point and over an interval.
Classify discontinuities as removable, jump, or infinite.
Define or redefine a function value to remove a removable discontinuity when possible.
Apply the Intermediate Value Theorem to justify that a value or zero exists on an interval.

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Adaptive questions on continuity and the intermediate value theorem.

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State the conditions required for the Intermediate Value Theorem.

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