Precalculus

Preface
	1. About OpenStax
	2. About OpenStax\'s Resources
	3. About Precalculus
	4. Pedagogical Foundations and Features
	5. Additional Resources
Chapter 1. Functions
	1.1. Functions and Function Notation
	1.2. Domain and Range
	1.3. Rates of Change and Behavior of Graphs
	1.4. Composition of Functions
	1.5. Transformation of Functions
	1.6. Absolute Value Functions
	1.7. Inverse Functions
	Glossary
Chapter 2. Linear Functions
	2.1. Linear Functions
	2.2. Graphs of Linear Functions
	2.3. Modeling with Linear Functions
	2.4. Fitting Linear Models to Data
	Glossary
Chapter 3. Polynomial and Rational Functions
	3.1. Complex Numbers
	3.2. Quadratic Functions
	3.3. Power Functions and Polynomial Functions
	3.4. Graphs of Polynomial Functions
	3.5. Dividing Polynomials
	3.6. Zeros of Polynomial Functions
	3.7. Rational Functions
	3.8. Inverses and Radical Functions
	3.9. Modeling Using Variation
	Glossary
Chapter 4. Exponential and Rational Functions
	4.1. Exponential Functions
	4.2. Graphs of Exponential Functions
	4.3. Logarithmic Functions
	4.4. Graphs of Logarithmic Functions
	4.5. Logarithmic Properties
	4.6. Exponential and Logarithmic Equations
	4.7. Exponential and Logarithmic Models
	4.8. Fitting Exponential Models to Data
	Glossary
Chapter 5. Trigonometric Functions
	5.1. Angles
	5.2. Unit Circle: Sine and Cosine Functions
	5.3. The Other Trigonometric Functions
	5.4. Right Triangle Trigonometry
	Glossary
Chapter 6. Periodic Functions
	6.1 Graphs of the Sine and Cosine Functions
	6.2. Graphs of the Other Trigonometric Functions
	6.3. Inverse Trigonometric Functions
	Glossary
Chapter 7. Trigonometric Identities and Equations
	7.1. Solving Trigonometric Equations with Identities
	7.2. Sum and Difference Identities
	7.3. Double-Angle, Half-Angle, and Reduction Formulas
	7.4. Sum-to-Product and Product-to-Sum Formulas
	7.5. Solving Trigonometric Functions
	7.6. Modeling with Trigonometric Equations
	Glossary
Chapter 8. Further Applications of Trigonometry
	8.1. Non-Right Triangles: Law of Sines
	8.2. Non-Right Triangles: Law of Cosines
	8.3. Polar Coordinates
	8.4. Polar Coordinates: Graphs
	8.5. Polar Form of Complex Numbers
	8.6. Parametric Equations
	8.7. Parametric Equations: Graphs
	8.8. Vectors
	Glossary
Chapter 9. Systems of Equations and Inequalities
	9.1. Systems of Linear Equations: Two Variables
	9.2. Systems of Linear Equations: Three Variables
	9.3. Systems of Nonlinear Equations and Inequalities: Two Variables
	9.4. Partial Fractions
	9.5. Matrices and Matrix Operations
	9.6. Solving Systems with Gaussian Elimination
	9.7. Solving Systems with Inverses
	9.8. Solving Systems with Cramer\'s Rule
	Glossary
Chapter 10. Analytic Geometry
	10.1. The Ellipse
	10.2. The Hyperbola
	10.3. The Parabola
	10.4. Rotation of Axis
	10.5. Conic Sections in Polar Coordinates
	Glossary
Chapter 11. Sequences, Probability and Counting Theory
	11.1. Sequences and their Notations
	11.2. Arithmetic Sequences
	11.3. Geometric Sequences
	11.4. Series and their Notations
	11.5. Counting Principles
	11.6. Binomial Theorem
	11.7. Probability
	Glossary
Chapter 12. Introduction to Calculus
	12.1. Finding Limits: Numerical and Graphical Approaches
	12.2. Finding Limits: Properties of Limits
	12.3. Continuity
	12.4. Derivatives
	Glossary
Appendix A. Basic Functions and Identities
Try It Answers
	Chapter 1
	Chapter 2
	Chapter 3
	Chapter 4
	Chapter 5
	Chapter 6
	Chapter 7
	Chapter 8
	Chapter 9
	Chapter 10
	Chapter 11
	Chapter 12
Odd Answers
	Chapter 1
	Chapter 2
	Chapter 3
	Chapter 4
	Chapter 5
	Chapter 6
	Chapter 7
	Chapter 8
	Chapter 9
	Chapter 10
	Chapter 11
	Chapter 12
Index