In this video, we explore continuity and the Intermediate Value Theorem (IVT). You’ll learn how to determine whether a function is continuous, the types of discontinuities that can occur, and how to apply the IVT to prove the existence of solutions. This lesson also covers AP Calculus Unit 1: Limits & Continuity (AB/BC). It’s perfect for AP Calculus exam prep, review, and practice problems — especially for students learning how to justify continuity and apply the IVT in AP-style questions. Add this video to your AP Calculus Unit 1 review playlist for complete coverage. xoxo, Professor V 💡 Support & Exclusive Content 👉 Join my channel for perks: 👉 Become a Patron: Patreon gives you access to exclusive ad-free videos, worksheets, and my full math library. The "Star Pupil Package" tier is only $ ! 📺 Watch Next – Calculus Playlists Full Calculus 1 Playlist: Full Calculus 2 Playlist: Calculus 3 Lectures: ✨ Most Helpful Integration Lessons (Calc 2) Integration by parts: Tabular Integration: Trigonometric integrals: Trigonometric Substitution: Partial Fraction Decomposition: Strategy for Integration: Improper Integrals: 📘 Quick Trig Review Before Integrals Unit Circle: Trig Identities: Sum & Difference Formulas: Double & Half-Angle Formulas: 🛍️ Shop & Support Merch: Amazon Influencer Store: 📲 Stay Connected IG: @mathwithprofessorv TikTok: @mathwithprofessorv This video is copy protected and cannot be downloaded or used in any capacity without my permission. #APCalculus #APCalculusAB #APCalculusBC #APCalculusReview #APCalculusUnit1 #Calculus #mathwithprofessorv #calculusvideos #mathtutor #mathprofessor