4. Polynomial and Rational Functions

Identify Horizontal Asymptotes

Rational Functions and Their Graphs

Shortcut to Find Horizontal Asymptotes of Rational Functions

Zeros and Vertical Asymptotes of a Rational Function

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

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

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

 General Attributes of Rational Functions

Rational Equations- Work-rate Problem

Arrow Notation

Comprehensive Graph of a Rational Function

Rational Functions: Vertical and Horizontal Asymptotes, Arrow notation

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

Coordinates of a Hole of a Rational Function

Arrow Notation -Rational Functions

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

Finding Vertical Asymptotes of Rational Functions

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

Graphing a Rational Function with Slant / Oblique Asymptote

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

How to Find Slant Asymptote of a Rational Function

Graphing Rational Functions and Their Asymptotes

 Finding Horizontal Asymptotes Using Leading Terms

Identify a vertical asymptote

Create and graph relationships using rational functions

Finding Oblique Asymptotes by Long Division

Rational Equations- Applications with Uniform Motion

MATHS - Graphs - Asymptotes

Finding the Domain of Rational Functions

Using Arrow Notation

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

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

How to find SLANT ASYMPTOTES 

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

Rational Expressions and Domain

Finding the Domain of an Expression Involving Fractions - Example 1

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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

Identify Polynomial Functions

Recognize Characteristics of Graphs of Polynomial Functions

Determine End Behavior

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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

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 Problems Modeled by Polynomial or Rational Inequalities

Polynomial and Rational Inequalities

Find the Domains of Rational Functions

Use Arrow Notation

Identify Vertical Asymptotes

Use Transformations to Graph Rational Functions

Graph Rational Functions

Identify Slant Asymptotes

Solve Applied Problems Involving Rational Functions

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

Solve Direct Variation Problems

Solve Inverse Variation Problems

Solve Combined Variation Problems

Solve Problems Involving Joint Variation

Modeling Using Variation

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

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