4. Polynomial and Rational Functions

Solve Combined Variation Problems

Modeling Using Variation

Combined Variation

Identify direct and inverse variation by looking at the shape of graphs

Combined Variation Word Problem

Direct Variation / Direct Proportion - Example 1

Pre-Calculus - Solving a direct variation problem

Direct Variation / Direct Proportion - Example 3

Word problem on inverse variation

Solve the variation problems in Exercises 77–82. The distance that a body falls from rest is directly proportional to the square of the time of the fall. If skydivers fall 144 feet in 3 seconds, how far will they fall in 10 seconds?

Solve the variation problems in Exercises 77–82. The pitch of a musical tone varies inversely as its wavelength. A tone has a pitch of 660 vibrations per second and a wavelength of 1.6 feet. What is the pitch of a tone that has a wavelength of 2.4 feet?

Model rational functions: using tables

Direct Proportion

Joint Variation Examples

Joint and Combined Variation

Direct Variation / Direct Proportion - Example 2

Direct variation 1 | Rational expressions | Algebra II | Khan Academy

Joint Variation

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

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Use Synthetic Division to Divide Polynomials

Evaluate a Polynomial Using the Remainder Theorem

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Dividing Polynomials

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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

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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

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Use Transformations to Graph Rational Functions

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Solve Applied Problems Involving Rational Functions

Rational Functions and Their Graphs

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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 Problems Involving Joint 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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