4. Polynomial and Rational Functions

Solve Direct Variation Problems

Modeling Using Variation

Direct Variation / Direct Proportion - Example 1

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

Combined Variation Word Problem

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

Combined Variation

Joint Variation

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Dividing Polynomials

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Understand the Relationship Between Degree and Turning Points

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 Problems Modeled by Polynomial or Rational Inequalities

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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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Determine a Quadratic Function's Minimum or Maximum

Problems Involving a Quadratic Function's Minimum or Maximum

Quadratic Functions

Solve Inverse Variation Problems

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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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