College Algebra

<p>R. Basic Concepts of Algebra</p> <p>R.1 The Real-Number System</p> <p>R.2 Integer Exponents, Scientific Notation, and Order of Operations</p> <p>R.3 Addition, Subtraction, and Multiplication of Polynomials</p> <p>R.4 Factoring</p> <p>R.5 The Basics of Equation Solving</p> <p>R.6 Rational Expressions</p> <p>R.7 Radical Notation and Rational Exponents</p> <p>Study Guide</p> <p>Review Exercises</p> <p>Chapter Test</p> <p>&nbsp;</p> <p>1. Graphs; Linear Functions and Models</p> <p>1.1 Introduction to Graphing</p> <p>1.2 Functions and Graphs</p> <p>1.3 Linear Functions, Slope, and Applications</p> <p>Visualizing the Graph</p> <p>Mid-Chapter Mixed Review</p> <p>1.4 Equations of Lines and Modeling</p> <p>1.5 Linear Equations, Functions, Zeros, and Applications</p> <p>1.6 Solving Linear Inequalities</p> <p>Study Guide</p> <p>Review Exercises</p> <p>Chapter Test</p> <p>&nbsp;</p> <p>2. More on Functions</p> <p>2.1 Increasing, Decreasing, and Piecewise Functions; Applications</p> <p>2.2 The Algebra of Functions </p> <p>2.3 The Composition of Functions</p> <p>2.4 Symmetry and Transformations</p> <p>Visualizing the Graph</p> <p>2.5 Variation and Applications</p> <p>Study Guide</p> <p>Review Exercises</p> <p>Chapter Test</p> <p>&nbsp;</p> <p>3. Quadratic Functions and Equations; Inequalities</p> <p>3.1 The Complex Numbers</p> <p>3.2 Quadratic Equations, Functions, Zeros, and Models</p> <p>3.3 Analyzing Graphs of Quadratic Functions</p> <p>Visualizing the Graph</p> <p>Mid-Chapter Mixed Review</p> <p>3.4 Solving Rational Equations and Radical Equations</p> <p>3.5&nbsp; Solving Linear Inequalities</p> <p>Study Guide</p> <p>Review Exercises</p> <p>Chapter Test</p> <p>&nbsp;</p> <p>4. Polynomial and Rational Functions</p> <p>4.1 Polynomial Functions and Modeling</p> <p>4.2 Graphing Polynomial Functions</p> <p>Visualizing the Graph</p> <p>4.3 Polynomial Division; The Remainder and Factor Theorems</p> <p>Mid-Chapter Mixed Review</p> <p>4.4 Theorems about Zeros of Polynomial Functions</p> <p>4.5 Rational Functions</p> <p>Visualizing the Graph</p> <p>4.6 Polynomial and Rational Inequalities</p> <p>Study Guide</p> <p>Review Exercises</p> <p>Chapter Test</p> <p>&nbsp;</p> <p>5. Exponential and Logarithmic Functions</p> <p>5.1 Inverse Functions</p> <p>5.2 Exponential Functions and Graphs</p> <p>5.3 Logarithmic Functions and Graphs</p> <p>5.4 Properties of Logarithmic Functions</p> <p>5.5 Solving Exponential Equations and Logarithmic Equations</p> <p>5.6&nbsp; Applications and Models: Growth and Decay; Compound Interest</p> <p>Study Guide</p> <p>Review Exercises</p> <p>Chapter Test</p> <p>&nbsp;</p> <p>6. Systems of Equations and Matrices</p> <p>6.1 Systems of Equations in Two Variables</p> <p>Visualizing the Graph</p> <p>6.2 Systems of Equations in Three Variables</p> <p>6.3 Matrices and Systems of Equations</p> <p>6.4&nbsp; Matrix Operations</p> <p>Mid-Chapter Mixed Review</p> <p>6.5 Inverses of Matrices</p> <p>6.6 Determinants and Cramer’s Rule</p> <p>6.7 Systems of Inequalities and Linear Programming</p> <p>6.8&nbsp; Partial Fractions</p> <p>Study Guide</p> <p>Review Exercises</p> <p>Chapter Test</p> <p>&nbsp;</p> <p>7. Conic Sections</p> <p>7.1 The Parabola</p> <p>7.2 The Circle and the Ellipse</p> <p>Mid-Chapter Mixed Review</p> <p>7.3 The Hyperbola</p> <p>7.4 Nonlinear Systems of Equations and Inequalities</p> <p>Visualizing the Graph</p> <p>Study Guide</p> <p>Review Exercises</p> <p>Chapter Test</p> <p>&nbsp;</p> <p>&nbsp;</p> <p>Photo Credits</p> <p>Answers</p> <p>Index</p> <p>Index of Applications</p> <br> <br>