Calculus 1: Continuity and the Intermediate Value Theorem (Video #5) | Math with Professor V

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 https://linktr.ee/mathwithprofessorv 💡 Support & Exclusive Content 👉 Join my channel for perks:    / @mathwithprofessorv   👉 Become a Patron:   / mathwithprofessorv   Patreon gives you access to exclusive ad-free videos, worksheets, and my full math library. The "Star Pupil Package" tier is only $9.99/month! 📺 Watch Next – Calculus Playlists Full Calculus 1 Playlist:    • Calculus 1 Video Lectures   Full Calculus 2 Playlist:    • Calculus 2 Video Lectures   Calculus 3 Lectures:    • Calculus 3 Video Lectures   ✨ Most Helpful Integration Lessons (Calc 2) Integration by parts:    • Calculus 2: Integration by Parts (Video #1...   Tabular Integration:    • Integration by Parts - Tabular Method | Ca...   Trigonometric integrals:    • Calculus 2: Trigonometric Integrals (Video...   Trigonometric Substitution:    • Calculus 2: Trigonometric Substitution (Vi...   Partial Fraction Decomposition:    • Calculus 2: Integration of Rational Functi...   Strategy for Integration:    • Calculus 2: Strategy for Integration (Vide...   Improper Integrals:    • Calculus 2: Improper Integrals (Video #7) ...   📘 Quick Trig Review Before Integrals Unit Circle:    • Trigonometry: Circular Functions (Section ...   Trig Identities:    • Precalculus: Trigonometric Identities (Sec...   Sum & Difference Formulas:    • Precalculus: Sum and Difference Formulas f...   Double & Half-Angle Formulas:    • Precalculus: The Double-Angle and Half-Ang...   🛍️ Shop & Support Merch: https://math-with-professor-v.mysprea... Amazon Influencer Store: https://amazon.com/shop/mathwithprofe... 📲 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