Graphing Rational Functions Step by Step | AP Precalculus Review with Professor V

Master graphing rational functions step by step with this AP Precalculus tutorial! Professor V walks you through factoring the numerator and denominator, identifying domain restrictions, finding holes (removable discontinuities), locating vertical asymptotes, x- and y-intercepts, and determining horizontal or slant asymptotes using degree comparisons and long division. We also discuss sign analysis and end behavior so you can sketch any rational function confidently. Although the AP Precalculus exam doesn’t require students to graph rational functions by hand, these concepts are part of the Unit 1 framework in the official AP Precalculus Course and Exam Description (Topics 1.9 and 1.10: Rational Functions and Vertical Asymptotes / Holes). Students are expected to interpret domain restrictions, asymptotic behavior, and key features of graphs — which is exactly what this lesson builds toward. This video is perfect for AP Precalculus students, college algebra, or anyone reviewing rational functions! 📝 Guided notes & exclusive worksheets: patreon.com/mathwithprofessorv 🎥 Watch more AP Precalculus lessons:    • AP Precalculus Unit 1: Polynomial and Rati...   Subscribe to Math with Professor V for clear, concise math lessons!    / @mathwithprofessorv   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 – Precalculus Playlists Full Precalculus Video Lectures Playlist:    • Precalculus Video Lectures   Precalculus Quick Tips:    • Precalculus Quick Tips   Algebra Review:    • Algebra Quick Tips   Full Calculus 1 Video Lectures Playlist:    • Calculus 1 Video Lectures   Full Calculus 2 Integration Playlist:    • Calculus 2 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. #mathwithprofessorv #integration #partialfractions #trigonometricsubstitution #trigintegrals #integrals #integralcalculus #calculus2 #calculusvideos #integralvideos #trigonometricintegrals #math #youtubemath #mathvideos #mathtutor #mathprofessor #integrationbyparts #calculuspractice #calc2review #integralpractice