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Graphing Rational Functions - From Basic Concepts to Advanced Problem Solving

GreeneMath.com via YouTube

Overview

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Learn to master graphing rational functions in this comprehensive video lesson that progresses from basic concepts to advanced applications. Begin with fundamental definitions and domain exploration before diving into graphing y=1/x and its transformations. Master arrow notation, vertical and horizontal asymptotes, and understand how to identify holes and removable discontinuities in graphs. Explore function behavior near asymptotes and x-intercepts through detailed explanations and multiple worked examples. Practice with three complete graphing problems while utilizing interactive Desmos demonstrations for enhanced visual understanding. Perfect for strengthening algebra skills and building a solid foundation in rational function analysis.

Syllabus

Introduction
Rational Function Definition
Domain of a Rational Function
Graphing y = 1/x
Arrow Notation
Graphing Transformations of y = 1/x
Graphing y = 1/x^2
Graphing Transformations of y = 1/x^2
Vertical Asymptotes
Horizontal Asymptotes
How to Find Asymptotes
Finding Asymptotes Problem #1
Finding Asymptotes Problem #2
Finding Asymptotes Problem #3
Holes/Removable Discontinuities in the Graph
Behavior Near Vertical Asymptotes
Behavior Near x-intercepts
Graphing a Rational Function Procedure
Graphing Rational Functions Problem #1
Graphing Rational Functions Problem #2
Graphing Rational Functions Problem #3

Taught by

GreeneMath.com

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