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Preface
1Functions
2Linear Functions
3Polynomial and Rational Functions
4Exponential and Logarithmic Functions
5Trigonometric Functions
6Periodic Functions
7Trigonometric Identities and Equations
8Further Applications of Trigonometry
9Systems of Equations and Inequalities
10Analytic Geometry
11Sequences, Probability and Counting Theory
12Introduction to Calculus
ABasic Functions and Identities
Answer Key
Index

Library Precalculus

Contents

Preface
1Functions
2Linear Functions
3Polynomial and Rational Functions
4Exponential and Logarithmic Functions
5Trigonometric Functions
6Periodic Functions
7Trigonometric Identities and Equations
8Further Applications of Trigonometry
9Systems of Equations and Inequalities
10Analytic Geometry
11Sequences, Probability and Counting Theory
12Introduction to Calculus
ABasic Functions and Identities
Answer Key
Index

Key Equations

Key Equations

Sinusoidal functions

\begin{array}{l} f (x) = A \sin (B x - C) + D \\ f (x) = A \cos (B x - C) + D \end{array} \begin{array}{l} f (x) = A \sin (B x - C) + D \\ f (x) = A \cos (B x - C) + D \end{array}

Shifted, compressed, and/or stretched tangent function	$y = A \tan (B x - C) + D y = A$
Shifted, compressed, and/or stretched secant function	$y = A \sec (B x - C) + D y = A$
Shifted, compressed, and/or stretched cosecant function	$y = A \csc (B x - C) + D y = A$
Shifted, compressed, and/or stretched cotangent function	$y = A \cot (B x - C) + D y = A$

Key Equations · Precalculus · Physics Playground

Key Equations

Key Equations

Exercises

Review Exercises
Practice Test

Exercises

Review Exercises
Practice Test

Zeros of Polynomial Functions

Zeros of Polynomial Functions

3.7Rational Functions

3.7Rational Functions

3.8Inverses and Radical Functions

3.8Inverses and Radical Functions

3.9Modeling Using Variation

3.9Modeling Using Variation

Chapter Review

Key Terms
Key Equations
Key Concepts

Chapter Review

Key Terms
Key Equations
Key Concepts

Exercises

Review Exercises
Practice Test

Exercises

Review Exercises
Practice Test

4.6

4.6

Exponential and Logarithmic Equations

Exponential and Logarithmic Equations

4.7Exponential and Logarithmic Models

4.7Exponential and Logarithmic Models

4.8Fitting Exponential Models to Data

4.8Fitting Exponential Models to Data

Chapter Review

Key Terms
Key Equations
Key Concepts

Chapter Review

Key Terms
Key Equations
Key Concepts

Exercises

Review Exercises
Practice Test

Exercises

Review Exercises
Practice Test

Exercises

Review Exercises
Practice Test

Exercises

Review Exercises
Practice Test

Key Concepts

Key Concepts

Exercises

Review Exercises
Practice Test

Exercises

Review Exercises
Practice Test

7.6

7.6

Modeling with Trigonometric Functions

Modeling with Trigonometric Functions

Chapter Review

Key Terms
Key Equations
Key Concepts

Chapter Review

Key Terms
Key Equations
Key Concepts

Exercises

Review Exercises
Practice Test

Exercises

Review Exercises
Practice Test

8.6

8.6

Parametric Equations

Parametric Equations

8.7Parametric Equations: Graphs

8.7Parametric Equations: Graphs

Chapter Review

Key Terms
Key Equations
Key Concepts

Chapter Review

Key Terms
Key Equations
Key Concepts

Exercises

Review Exercises
Practice Test

Exercises

Review Exercises
Practice Test

9.6

9.6

Solving Systems with Gaussian Elimination

Solving Systems with Gaussian Elimination

9.7Solving Systems with Inverses

9.7Solving Systems with Inverses

9.8Solving Systems with Cramer's Rule

9.8Solving Systems with Cramer's Rule

Chapter Review

Key Terms
Key Equations
Key Concepts

Chapter Review

Key Terms
Key Equations
Key Concepts

Exercises

Review Exercises
Practice Test

Exercises

Review Exercises
Practice Test

Key Terms

Key Terms

Exercises

Review Exercises
Practice Test

Exercises

Review Exercises
Practice Test

11.6

11.6

Binomial Theorem

Binomial Theorem

11.7Probability

11.7Probability

Chapter Review

Key Terms
Key Equations
Key Concepts

Chapter Review

Key Terms
Key Equations
Key Concepts

Exercises

Review Exercises
Practice Test

Exercises

Review Exercises
Practice Test

Key Equations

Key Equations

Exercises

Review Exercises
Practice Test

Exercises

Review Exercises
Practice Test

Chapter 9

Chapter 9

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Precalculus by OpenStax (Rice University), licensed under CC BY 4.0. Free to read at openstax.org. We changed the layout and left out notes meant only for teachers. OpenStax doesn't endorse this site.