Precalculus

Contents
Preface
Chapter 1 Functions
	Introduction to 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
	Chapter Review
	Exercises
Chapter 2 Linear Functions
	Introduction to 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
	Chapter Review
	Exercises
Chapter 3 Polynomial and Rational Functions
	Introduction to 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
	Chapter Review
	Exercises
Chapter 4 Exponential and Logarithmic Functions
	Introduction to Exponential and Logarithmic 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
	Chapter Review
	Exercises
Chapter 5 Trigonometric Functions
	Introduction to Trigonometric Functions
	5.1 Angles
	5.2 Unit Circle: Sine and Cosine Functions
	5.3 The Other Trigonometric Functions
	5.4 Right Triangle Trigonometry
	Chapter Review
	Exercises
Chapter 6 Periodic Functions
	Introduction to Periodic Functions
	6.1 Graphs of the Sine and Cosine Functions
	6.2 Graphs of the Other Trigonometric Functions
	6.3 Inverse Trigonometric Functions
	Chapter Review
	Exercises
Chapter 7 Trigonometric Identities and Equations
	Introduction to 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 Equations
	7.6 Modeling with Trigonometric Functions
	Chapter Review
	Exercises
Chapter 8 Further Applications of Trigonometry
	Introduction to 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
	Chapter Review
	Exercises
Chapter 9 Systems of Equations and Inequalities
	Introduction to 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
	Chapter Review
	Exercises
Chapter 10 Analytic Geometry
	Introduction to Analytic Geometry
	10.1 The Ellipse
	10.2 The Hyperbola
	10.3 The Parabola
	10.4 Rotation of Axes
	10.5 Conic Sections in Polar Coordinates
	Chapter Review
	Exercises
Chapter 11 Sequences, Probability and Counting Theory
	Introduction to 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
	Chapter Review
	Exercises
Chapter 12 Introduction to Calculus
	Introduction to Calculus
	12.1 Finding Limits: Numerical and Graphical Approaches
	12.2 Finding Limits: Properties of Limits
	12.3 Continuity
	12.4 Derivatives
	Chapter Review
	Exercises
Appendix A Basic Functions and Identities
	Graphs of the Parent Functions
	Graphs of the Trigonometric Functions
	Trigonometric Identities
Answer Key
	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
Blank Page
Copyright
Title Page
Dedication
Contents
Chapter 1: ‘I’m thinking’ – Oh, but are you?
Chapter 2: Renegade perception
Chapter 3: The Pushbacker sting
Chapter 4: ‘Covid’: The calculated catastrophe
Chapter 5: There is no ‘virus’
Chapter 6: Sequence of deceit
Chapter 7: War on your mind
Chapter 8: ‘Reframing’ insanity
Chapter 9: We must have it? So what is it?
Chapter 10: Human 2.0
Chapter 11: Who controls the Cult?
Chapter 12: Escaping Wetiko
Postscript
Appendix: Cowan-Kaufman-Morell Statement on Virus Isolation
Bibliography
Index