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In this video, I dive deep into rational functions, focusing on how to determine their domain and identify vertical asymptotes. I emphasize the importance of avoiding division by zero and how it plays a crucial role in determining the domain of a rational function. I also touch upon the structure of polynomials and their role in rational functions. By the end of this video, you'll have a clear understanding of rational functions, their domains, and the concept of vertical asymptotes. Let's dive in! Chapters: 0:00 What is a Rational Function? 0:45 Structure of Polynomials 1:56 Factoring Polynomials 4:58 Defining the Domain of Rational Functions 6:08 Identifying Vertical Asymptotes 8:31 Example: Finding the Domain and Vertical Asymptotes 15:00 Difference between Holes and Vertical Asymptotes 17:00 Conclusion and Recommendations ••••••••••••••••••••••••••••••••••••• 🧑💻 Work with me! - Come to Wyzant for some 1-on-1 online tutoring with me and get a $40 tutoring credit for FREE - https://is.gd/cqeuOv 📝 Get my precalculus study guide - https://jakesmathlessons.com/precalcu... 📝 Download my FREE calculus 1 study guide - https://jakesmathlessons.com/Calculus... 🎁 My Complete Calculus 1 Package - https://jakesmathlessons.com/complete... 📝 Get my calculus 2 study guide - https://jakesmathlessons.com/calculus... 📚 Problem Credit: Precalculus, Seventh Edition (7th Edition) by Ron Larson and Robert P. Hostetler - https://amzn.to/3LNgVSM •••••••••••••••••••••••••••••••••••• Some links in this video description may be affiliate links meaning I would get a small commission for your purchase at no additional cost to you. #jakes_math_lesson #mathtutorial #calculus #precalculus #mathtutor