How to Use Continuity and IVT - Calc 1 / AP Calculus Lesson & Examples

Learn how to justify Continuity and apply the Intermediate Value Theorem in AP Calculus AB and BC Unit 1 and College Calc 1.
We verify continuity algebraically and graphically, adjust piecewise functions to make them continuous, and determine exactly when IVT can and cannot be applied.
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🤓 My Calculus Courses
Calc 1: https://www.youtube.com/playlist?list=PLO0QMMwWEgs_naFuE_d6xdmU8Xh7gG2zg
Calc 2: https://www.youtube.com/playlist?list=PLO0QMMwWEgs91-5x5cXg7zCGIMb40iQ4C
Calc 3: https://www.youtube.com/playlist?list=PLO0QMMwWEgs__vBQQymjNqmD9lkEcnvvv
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🎯 Learning Goals
- Main Objectives: Justify continuity & Apply Intermediate Value Theorem
- Side Quest 1: Create continuity with piecewise functions
- Side Quest 2: Determine when IVT can and cannot be applied
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⏱️ Video Timestamps
00:00 Intro
00:56 Warm-Up and Continuity Rundown
01:53 Continuity Examples
10:01 Intermediate Value Theorem Rundown
11:22 IVT Examples
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🧭 Where You Are in the Chapter
L1. The Limit
L2. Limits with Infinity (and Other Limit Topics)
L3. Continuity and Intermediate Value Theorem ← YOU ARE HERE :)
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🗺️ Your Calculus Roadmap
https://drive.google.com/file/d/1ID3SH6rwtTmjBOIpT9gg-kHggSVWr8Ng/view
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📝 Grab the Notes & Key
→ Free Blank Notes:
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→ First Lecture Google Drive Link:
https://drive.google.com/file/d/1pWTnDETwMSLCefEksj_fAc9ywmgzSyzP/view
→ If you’d like to support me, get my answer keys, and more!:
https://www.patreon.com/collection/1655456
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🏷️ Tags and Keywords
continuity calculus, intermediate value theorem calculus, AP calculus AB unit 1 continuity, AP calculus BC unit 1 IVT, piecewise function continuity, when to apply IVT, justify continuity algebraically, calc 1 limits and continuity, college calculus intermediate value theorem, calculus help online, math exam prep, STEM education, limit concepts

Видео How to Use Continuity and IVT - Calc 1 / AP Calculus Lesson & Examples канала Math Man McGreal