Essentials of Precalculus Book

Note: Each chapter includes a Summary, True/False Exercises, Review Exercises, and a Test. Chapters 2-6 include Cumulative Review Exercises. 1. Functions and Graphs 1.1 Equations and Inequalities 1.2 A Two-Dimensional Coordinate System and Graphs 1.3 Introduction to Functions 1.4 Linear Functions 1.5 Quadratic Functions 1.6 Properties of Graphs 1.7 The Algebra of Functions Exploring Concepts with Technology: Graphing Piecewise Functions with a Graphing Calculator 2. Polynomial and Rational Functions 2.1 Complex Numbers 2.2 The Remainder Theorem and the Factor Theorem 2.3 Polynomial Functions of Higher Degree 2.4 Zeros of Polynomial Functions 2.5 The Fundamental Theorem of Algebra 2.6 Graphs of Rational Functions and Their Applications Exploring Concepts with Technology: Finding Zeros of a Polynomial Using Mathematica 3. Exponential and Logarithmic Functions 3.1 Inverse Functions 3.2 Exponential Functions and Their Applications 3.3 Logarithmic Functions and Their Applications 3.4 Logarithms and Logarithmic Scales 3.5 Exponential and Logarithmic Equations 3.6 Exponential Growth and Decay Exploring Concepts with Technology: Using a Semilog Graph to Model Exponential Decay 4. Trigonometric Functions 4.1 Angles and Arcs 4.2 Trigonometric Functions of Real Numbers 4.3 Graphs of the Sine and Cosine Functions 4.4 Graphs of the Other Trigonometric Functions 4.5 Graphing Techniques Exploring Concepts with Technology: Sinusoidal Families 5. Applications of Trigonometry and Trigonometric Identities 5.1 Trigonometric Functions of Angles 5.2 Verification of Trigonometric Identities 5.3 More on Trigonometric Identities 5.4 Inverse Trigonometric Functions 5.5 Trigonometric Equations 5.6 The Law of Sines and the Law of Cosines 5.7 Vectors Exploring Concepts with Technology: Approximate an Inverse Trigonometric Function with Polynomials 6. Additional Topics in Mathematics 6.1 Conic Sections 6.2 Polar Coordinates 6.3 Parametric Equations 6.4 Sequences, Series, and Summation Notation 6.5 The Binomial Theorem Exploring Concepts with Technology: Using a Graphing Calculator to Find the nth Roots of z Algebra Review Appendix Integer and Rational Number Exponents Polynomials Factoring