Polynomial, Radical & Rational Functions
Analyze a rich family of functions — from complex numbers and quadratics to higher-degree polynomials, rational expressions, radical functions, and variation models.
Estimated Time
5–6 weeks
Difficulty
Advanced
Overview
Unit description, learning objectives, and skills.
Unit 3 — Polynomial, Radical & Rational Functions is the most algebraically demanding unit of the course. It begins with complex numbers and quadratics, then moves to higher-degree polynomials — end behavior, zeros, and division. You will then graph rational functions using asymptotes and holes, explore radical functions and their inverse relationships, and close with variation models that appear throughout physics, chemistry, and economics.
Learning Objectives
By the end of this unit, you will be able to:
Skills You Will Master
Real-World Connection
Functions are everywhere. When a streaming service recommends a show based on your watch history, it is using a function. When a GPS calculates your arrival time based on distance and speed, that is a function. Businesses use functions to model revenue, scientists use them to track population growth, and engineers use them to design bridges. Understanding functions — and especially linear functions — gives you the mathematical lens to describe, predict, and analyze the world around you.
Chapter Checklist
Recommended steps for completing each chapter
- Read the Workbook
- Complete the Independent Study
- Finish the Exit Ticket
- Take the Quiz
- Review the Answer Key
- Continue to the Next Chapter