Precalculus: Functions and Graphs

<p>P. Prerequisites</p> <p>P.1 Real numbers and Their Properties</p> <p>P.2 Integral Exponents and Scientific Notation</p> <p>P.3 Rational Exponents and Radicals</p> <p>P.4 Polynomials</p> <p>P.5 Factoring Polynomials</p> <p>P.6 Rational Expressions</p> <p>P.7 Complex Numbers</p> <p>Chapter P Highlights</p> <p>Chapter P Review Exercises</p> <p>Chapter P Test</p> <p>&nbsp;</p> <p>1. Equations, Inequalities, and Modeling</p> <p>1.1 Equations in One Variable</p> <p>1.2 Constructing Models to Solve Problems</p> <p>1.3 Equations and Graphs in Two Variables</p> <p>1.4 Linear Equations in Two Variables</p> <p>1.5 Scatter Diagrams and Curve Fitting</p> <p>1.6 Complex Numbers</p> <p>1.7 Quadratic Equations</p> <p>1.8 Linear and Absolute Value Inequalities</p> <p>Chapter 1 Highlights</p> <p>Chapter 1 Review Exercises</p> <p>Chapter 1 Test</p> <p>Concepts of Calculus: Limits</p> <p>&nbsp;</p> <p>2. Functions and Graphs</p> <p>2.1 Functions</p> <p>2.2 Graphs of Relations and Functions</p> <p>2.3 Families of Functions, Transformations, and Symmetry</p> <p>2.4 Operations with Functions</p> <p>2.5 Inverse Functions</p> <p>2.6 Constructing Functions with Variation</p> <p>Chapter 2 Highlights</p> <p>Chapter 2 Review Exercises</p> <p>Chapter 2 Test</p> <p>Tying it all Together</p> <p>Concepts of Calculus: Instantaneous Rate of Change</p> <p>&nbsp;</p> <p>3. Polynomial and Rational Functions</p> <p>3.1 Quadratic Functions and Inequalities</p> <p>3.2 Zeroes of Polynomial Functions</p> <p>3.3 The Theory of Equations</p> <p>3.4 Miscellaneous Equations</p> <p>3.5 Graphs of Polynomial Functions</p> <p>3.6 Rational Functions and Inequalities</p> <p>Chapter 3 Highlights</p> <p>Chapter 3 Review Exercises</p> <p>Chapter 3 Test</p> <p>Tying it all Together</p> <p>Concepts of Calculus: Instantaneous Rate of Change of the Power Functions</p> <p>&nbsp;</p> <p>4. Exponential and Logarithmic Functions</p> <p>4.1 Exponential Functions and Their Applications</p> <p>4.2 Logarithmic Functions and Their Applications</p> <p>4.3 Rules of Logarithms</p> <p>4.4 More Equations and Applications</p> <p>Chapter 4 Highlights</p> <p>Chapter 4 Review Exercises</p> <p>Chapter 4 Test</p> <p>Tying it all Together</p> <p>Concepts of Calculus: The Instantaneous Rate of Change off(x)= ex</p> <p>&nbsp;</p> <p>5. The Trigonometric Functions</p> <p>5.1 Angles and Their Measurements</p> <p>5.2 The Sine and Cosine Functions</p> <p>5.3 The Graphs of the Sine and Cosine Functions</p> <p>5.4 The Other Trigonometric Functions and Their Graphs</p> <p>5.5 The Inverse Trigonometric Functions</p> <p>5.6 Right Triangle Trigonometry</p> <p>Chapter 5 Highlights</p> <p>Chapter 5 Review Exercises</p> <p>Chapter 5 Test</p> <p>Tying it all Together</p> <p>Concepts of Calculus: Evaluating Transcendental Functions</p> <p>&nbsp;</p> <p>6. Trigonometric Identities and Conditional Equations</p> <p>6.1 Basic Identities</p> <p>6.2 Verifying Identities</p> <p>6.3 Sum and Difference Identities</p> <p>6.4 Double-Angle and Half-Angle Identities</p> <p>6.5 Product and Sum Identities</p> <p>6.6 Conditional Trigonometric Equations</p> <p>Chapter 6 Highlights</p> <p>Chapter 6 Review Exercises</p> <p>Chapter 6 Test</p> <p>Tying it all Together</p> <p>Concepts of Calculus: Area of a Circle and p</p> <p>&nbsp;</p> <p>7. Applications of Trigonometry</p> <p>7.1 The Law of Sines</p> <p>7.2 The Law of Cosines</p> <p>7.3 Vectors</p> <p>7.4 Trigonometric Form of Complex Numbers</p> <p>7.5 Powers and Roots of Complex and Numbers</p> <p>7.6 Polar Equations</p> <p>Chapter 7 Highlights</p> <p>Chapter 7 Review Exercises</p> <p>Chapter 7 Test</p> <p>Tying it all Together</p> <p>Concepts of Calculus: Limits and Asymptotes</p> <p>&nbsp;</p> <p>8. Systems of Equations and Inequalities</p> <p>8.1 Systems of Linear Equations in Two Variables</p> <p>8.2 Systems of Linear Equations in Three Variables</p> <p>8.3 Nonlinear Systems of Equations</p> <p>8.4 Partial Fractions</p> <p>8.5 Inequalities and Systems of Inequalities in Two Variables</p> <p>8.6 The Linear Programming Mod</p>