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. 📚 WANT MORE STRUCTURED CALCULUS SUPPORT? My complete self-paced Calculus 1 course at ProfessorVMath.com includes video lectures, guided notes, problem sets with fully worked solutions, study guides, sample exams, and more. I also offer complete self-paced courses in Precalculus, Calculus 2, Calculus 3, Differential Equations, and more at ProfessorVMath.com. My full Calculus 1, 2, and 3 lecture libraries are also available FREE here on YouTube. xoxo, Professor V #Calculus #apcalculus #MathWithProfessorV © Math with Professor V. All rights reserved. 💡 Support & Exclusive Content 👉 Join my channel for perks:    / @mathwithprofessorv   📺 Watch Next Full Calculus 1 Playlist:    • Calculus 1 Video Lectures   🛍️ 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.