<ol> <li><strong>Graphs, Functions, and Models</strong> <ul> <li>1.1. Introduction to Graphing <ul> <li>Visualizing the Graph</li> </ul></li> <li>1.2. Functions and Graphs</li> <li>1.3. Linear Functions, Slope, and Applications <ul> <li>Visualizing the Graph</li> <li>Mid-Chapter Mixed Review</li> </ul></li> <li>1.4. Equations of Lines and Modeling</li> <li>1.5. Linear Equations, Functions, Zeros, and Applications</li> <li>1.6. Solving Linear Inequalities</li> <li>Summary and Review</li> <li>Review Exercises</li> <li>Chapter Test</li> </ul></li> <li><strong>More on Functions</strong> <ul> <li>2.1. Increasing, Decreasing, and Piecewise Functions; Applications</li> <li>2.2. The Algebra of Functions</li> <li>2.3. The Composition of Functions <ul> <li>Mid-Chapter Mixed Review</li> </ul></li> <li>2.4. Symmetry</li> <li>2.5. Transformations <ul> <li>Visualizing the Graph</li> </ul></li> <li>2.6. Variation and Applications</li> <li>Summary and Review</li> <li>Review Exercises</li> <li>Chapter Test</li> </ul></li> <li><strong>Quadratic Functions and Equations; Inequalities</strong> <ul> <li>3.1. The Complex Numbers</li> <li>3.2. Quadratic Equations, Functions, Zeros, and Models</li> <li>3.3. Analyzing Graphs of Quadratic Functions <ul> <li>Visualizing the Graph</li> <li>Mid-Chapter Mixed Review</li> </ul></li> <li>3.4. Solving Rational Equations and Radical Equations</li> <li>3.5. Solving Equations and Inequalities with Absolute Value <ul> <li>Summary and Review</li> <li>Review Exercises</li> <li>Chapter Test</li> </ul></li> </ul></li> <li><strong>Polynomial Functions and Rational Functions</strong> <ul> <li>4.1. Polynomial Functions and Modeling</li> <li>4.2. Graphing Polynomial Functions <ul> <li>Visualizing the Graph</li> </ul></li> <li>4.3. Polynomial Division; The Remainder Theorem and the Factor Theorem <ul> <li>Mid-Chapter Mixed Review</li> </ul></li> <li>4.4. Theorems about Zeros of Polynomial Functions</li> <li>4.5. Rational Functions <ul> <li>Visualizing the Graph</li> </ul></li> <li>4.6. Polynomial Inequalities and Rational Inequalities <ul> <li>Study Guide</li> <li>Review Exercises</li> <li>Chapter Test</li> </ul></li> </ul></li> <li><strong>Exponential Functions and Logarithmic Functions</strong> <ul> <li>5.1. Inverse Functions</li> <li>5.2. Exponential Functions and Graphs</li> <li>5.3. Logarithmic Functions and Graphs <ul> <li>Visualizing the Graph</li> <li>Mid-Chapter Mixed Review</li> </ul></li> <li>5.4. Properties of Logarithmic Functions</li> <li>5.5. Solving Exponential Equations and Logarithmic Equations</li> <li>5.6. Applications and Models: Growth and Decay; Compound Interest 364 <ul> <li>Study Guide</li> <li>Review Exercises</li> <li>Chapter Test</li> </ul></li> </ul></li> <li><strong>Systems of Equations and Matrices</strong> <ul> <li>6.1. Systems of Equations in Two Variables <ul> <li>Visualizing the Graph</li> </ul></li> <li>6.2. Systems of Equations in Three Variables</li> <li>6.3. Matrices and Systems of Equations</li> <li>6.4. Matrix Operations <ul> <li>Mid-Chapter Mixed Review</li> </ul></li> <li>6.5. Inverses of Matrices</li> <li>6.6. Determinants and Cramer’s Rule</li> <li>6.7. Systems of Inequalities and Linear Programming</li> <li>6.8. Partial Fractions <ul> <li>Study Guide</li> <li>Review Exercises</li> <li>Chapter Test</li> </ul></li> </ul></li> <li><strong>Conic Sections</strong> <ul> <li>7.1. The Parabola</li> <li>7.2. The Circle and the Ellipse <ul> <li>Mid-Chapter Mixed Review</li> </ul></li> <li>7.3. The Hyperbola</li> <li>7.4. Nonlinear Systems of Equations and Inequalities <ul> <li>Visualizing the Graph</li> <li>Study Guide</li> <li>Review Exercises</li> <li>Chapter Test</li> </ul></li> </ul></li> <li><strong>Sequences, Series, and Combinatorics</strong> <ul> <li>8.1. Sequences and Series</li> <li>8.2. Arithmetic Sequences and Series</li> <li>8.3. Geometric Sequences and Series <ul> <li>Visualizing the Graph</li> </ul></li> <li>8.4. Mathematical Induction <ul> <li>Mid-Chapter Mixed Review</li> </ul></li> <li>8.5. Combinatorics: Permutations</li> <li>8.6. Combinatorics: Combinations</li> <li>8.7. The Binomial Theorem</li> <li>8.8. Probability <ul> <li>Study Guide</li> <li>Review Exercises</li> <li>Chapter Test</li> </ul></li> </ul></li> </ol> <h4>Photo Credits</h4> <h4>Answers</h4> <h4>Additional Instructor’s Answers</h4> <h4>Index</h4> <h4>Index of Applications</h4> <p></p>