Rational Functions: Domains, Holes, and Vertical Asymptotes | Precalculus 5.6.a

This is Part 1 of a two-part lesson covering Precalculus 5.6: Rational Functions. In this video, you will learn how to find the domain of a rational function and distinguish between removable discontinuities and vertical asymptotes. We factor before simplifying, preserve excluded inputs, find complete hole coordinates, and describe one-sided behavior using arrow notation. WATCH THE COMPLETE 5.6 LESSON Part 1 — Rational Functions: Domains, Holes, and Vertical Asymptotes:    • Rational Functions: Domains, Holes, and Ve...   Part 2 — Horizontal and Slant Asymptotes of Rational Functions:    • Horizontal and Slant Asymptotes of Rationa...   TOPICS IN THIS VIDEO Definition of a rational function Denominator restrictions Domain in interval notation Factoring rational expressions Why cancellation does not restore an input Removable discontinuities Finding the coordinates of a hole Vertical asymptotes Denominator-factor multiplicity Same-side and opposite-side behavior Arrow notation One-sided limits and local behavior Common domain and cancellation errors REVIEW THE PREVIOUS LESSON Precalculus 5.5 — Zeros of Polynomial Functions Part 1 — Remainder Theorem and Factor Theorem Explained:    • Remainder Theorem and Factor Theorem Expla...   Part 2 — Rational Zero Theorem: How to Find All Polynomial Zeros:    • Rational Zero Theorem: How to Find All Pol...   Part 3 — Complex Zeros, Polynomial Construction, and Descartes’ Rule of Signs:    • Complex Zeros, Polynomial Construction, an...   PRINTABLE RESOURCES Practice worksheet and complete solution key: Coming soon No-Mystery Mathematics Gumroad storefront: https://nomysterymathematics.gumroad.... COURSE LINKS Complete Precalculus playlist:    • Complete Precalculus Course: Step-by-Step ...   YouTube channel:    / @nomysterymathematics   No-Mystery Mathematics Math made clear, one step at a time. Understand the why, not just the steps.