3. Polynomial and Rational Functions

Use Arrow Notation

Rational Functions and Their Graphs

Using Arrow Notation

Rational Equations- Applications with Uniform Motion

Finding the Domain of Rational Functions

Coordinates of a Hole of a Rational Function

Rational Function : Find the Asymptotes (Vertical, Horizontal, Slant / Oblique)

 Rational Functions of the Form y = 1/x^n and Their Transformations / Example 11.4

Zeros and Vertical Asymptotes of a Rational Function

Finding the Domain of a Rational Function / Fraction with Variable in Denominator

Identify a vertical asymptote

Graphing Rational Functions and Their Asymptotes

Comprehensive Graph of a Rational Function

Graphing a Rational Function that has an Oblique/Slant Asymptote and  a Vertical Asymptote

Finding All Asymptotes of a Rational Function (Vertical, Horizontal, Oblique / Slant)

 General Attributes of Rational Functions

Rational Functions: Vertical and Horizontal Asymptotes, Arrow notation

Finding Oblique Asymptotes by Long Division

MATHS - Graphs - Asymptotes

Arrow Notation -Rational Functions

Arrow Notation

Finding the Domain of an Expression Involving Fractions - Example 1

Rational Equations- Work-rate Problem

Vertical Asymptotes of Rational Functions: Quick Way to Find Them, Another Example 2

 Rational Functions of the Form y = 1/x^n and Their Transformations / Example 11.6

Rational Expressions and Domain

Find the Equations of the Vertical and Horizontal Asymptotes of Rational Function f(x)=(3x+12)/(x+2)

How to find SLANT ASYMPTOTES 

Vertical Asymptotes of Rational Functions: Quick Way to Find Them, Another Example 1

Rational Functions of the Form y = 1/x^n and Their Transformations / Example 11.5

Graphing a Rational Function with Slant / Oblique Asymptote

How to Find Slant Asymptote of a Rational Function

Shortcut to Find Horizontal Asymptotes of Rational Functions

Create and graph relationships using rational functions

Finding Vertical Asymptotes of Rational Functions

 Finding Horizontal Asymptotes Using Leading Terms

Learn the toughest concepts covered in Precalculus with step-by-step video tutorials and practice problems by world-class tutors 

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1. Fundamental Concepts of Algebra

2. Functions and Graphs

4. Exponential and Logarithmic Functions

5. Trigonometric Functions

6. Analytic Trigonometry

7. Additional Topics in Trigonometry

8. Systems of Equations and Inequalities

9. Matrices and Determinants

10. Conic Sections and Analytic Geometry

11. Sequences, Induction, and Probability

12. Introduction to Calculus

Identify Polynomial Functions

Recognize Characteristics of Graphs of Polynomial Functions

Determine End Behavior

Use Factoring to Find Zeros of Polynomial Functions

Identify Zeros and Their Multiplicities

Use the Intermediate Value Theorem

Understand the Relationship Between Degree and Turning Points

Graph Polynomial Functions

Polynomial Functions and Their Graphs

Solve Polynomial Inequalities

Solve Rational Inequalities

 Problems Modeled by Polynomial or Rational Inequalities

Polynomial and Rational Inequalities

Add and Subtract Complex Numbers

Multiply Complex Numbers

Divide Complex Numbers

Perform Operations with Square Roots of Negative Numbers

Solve Quadratic Equations with Complex Imaginary Solutions

Complex Numbers

Find the Domains of Rational Functions

Identify Vertical Asymptotes

Identify Horizontal Asymptotes

Use Transformations to Graph Rational Functions

Graph Rational Functions

Identify Slant Asymptotes

Solve Applied Problems Involving Rational Functions

Use Long Division to Divide Polynomials

Use Synthetic Division to Divide Polynomials

Evaluate a Polynomial Using the Remainder Theorem

Use the Factor Theorem to Solve a Polynomial Equation

Dividing Polynomials, Remainder and Factor Theorems

Use Rational Zero Theorem to Find Possible Rational Zeros

Find Zeros of a Polynomial Function

Solve Polynomial Equations

Use the Linear Factorization Theorem to Find Polynomials With Given Zeros

Use Descartes's Rule of Signs

Zeros of Polynomial Functions

Solve Direct Variation Problems

Solve Inverse Variation Problems

Solve Combined Variation Problems

Solve Problems Involving Joint Variation

Modeling Using Variation

Recognize Characteristics of Parabolas

Graph Parabolas

Determine a Quadratic Function's Minimum or Maximum

Problems Involving a Quadratic Function's Minimum or Maximum

Quadratic Functions

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Building Great Presentations

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Critical Thinking And Problem Solving

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Embracing Times Of Uncertainty

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Emotional Intelligence Basics

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Enhancing Your Critical Thinking Skills

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Habits To Win Every Day

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Having Powerful Advanced Conversations

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How To Influence & Persuade

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Leadership Skills For Rising Stars

Listening To Lead

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Making Decisions Under Uncertainty

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Mistakes To Avoid When Resolving Conflict

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Overcoming Decision Making Traps

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Prioritizing Effectively

Secrets Of Effective Prioritization

Strategies To Build Up Your Creativity

Tools For Decision Making

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Unleash And Advance Your Creativity

Winning Collaboration: How To Work More Effectively With Different Personalities