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Preface To the Student Just-in-Time Review 1. Real Numbers 2. Properties of Real Numbers 3. Order on the Number Line 4. Absolute Value 5. Operations with Real Numbers 6. Interval Notation 7. Integers as Exponents 8. Scientific Notation 9. Order of Operations 10. Introduction to Polynomials 11. Add and Subtract Polynomials 12. Multiply Polynomials 13. Special Products of Binomials 14. Factor Polynomials; The FOIL Method 15. Factor Polynomials: The ac-Method 16. Special Factorizations 17. Equation-Solving Principles 18. Inequality-Solving Principles 19. The Principle of Zero Products 20. The Principle of Square Roots 21. Simplify Rational Expressions 22. Multiply and Divide Rational Expressions 23. Add and Subtract Rational Expressions 24. Simplify Complex Rational Expressions 25. Simplify Radical Expressions 26. Rationalize Denominators 27. Rational Exponents 28. The Pythagorean Theorem 1. Graphs, Functions, and Models 1.1. Introduction to Graphing Visualizing the Graph 1.2. Functions and Graphs 1.3. Linear Functions, Slope, and Applications Visualizing the Graph Mid-Chapter Mixed Review 1.4. Equations of Lines and Modeling 1.5. Linear Equations, Functions, Zeros, and Applications 1.6. Solving Linear Inequalities Summary and Review Review Exercises Chapter Test 2. More on Functions 2.1. Increasing, Decreasing, and Piecewise Functions; Applications 2.2. The Algebra of Functions 2.3. The Composition of Functions Mid-Chapter Mixed Review 2.4. Symmetry 2.5. Transformations Visualizing the Graph 2.6. Variation and Applications Summary and Review Review Exercises Chapter Test 3. Quadratic Functions and Equations; Inequalities 3.1. The Complex Numbers 3.2. Quadratic Equations, Functions, Zeros, and Models 3.3. Analyzing Graphs of Quadratic Functions Visualizing the Graph Mid-Chapter Mixed Review 3.4. Solving Rational Equations and Radical Equations 3.5. Solving Equations and Inequalities with Absolute Value Summary and Review Review Exercises Chapter Test 4. Polynomial Functions and Rational Functions 4.1. Polynomial Functions and Modeling 4.2. Graphing Polynomial Functions Visualizing the Graph 4.3. Polynomial Division; The Remainder Theorem and the Factor Theorem Mid-Chapter Mixed Review 4.4. Theorems about Zeros of Polynomial Functions 4.5. Rational Functions Visualizing the Graph 4.6. Polynomial Inequalities and Rational Inequalities Study Guide Review Exercises Chapter Test 5. Exponential Functions and Logarithmic Functions 5.1. Inverse Functions 5.2. Exponential Functions and Graphs 5.3. Logarithmic Functions and Graphs Visualizing the Graph Mid-Chapter Mixed Review 5.4. Properties of Logarithmic Functions 5.5. Solving Exponential Equations and Logarithmic Equations 5.6. Applications and Models: Growth and Decay; Compound Interest 364 Study Guide Review Exercises Chapter Test 6. Systems of Equations and Matrices 6.1. Systems of Equations in Two Variables Visualizing the Graph 6.2. Systems of Equations in Three Variables 6.3. Matrices and Systems of Equations 6.4. Matrix Operations Mid-Chapter Mixed Review 6.5. Inverses of Matrices 6.6. Determinants and Cramer’s Rule 6.7. Systems of Inequalities and Linear Programming 6.8. Partial Fractions Study Guide Review Exercises Chapter Test 7. Conic Sections 7.1. The Parabola 7.2. The Circle and the Ellipse Mid-Chapter Mixed Review 7.3. The Hyperbola 7.4. Nonlinear Systems of Equations and Inequalities Visualizing the Graph Study Guide Review Exercises Chapter Test 8. Sequences, Series, and Combinatorics 8.1. Sequences and Series 8.2. Arithmetic Sequences and Series 8.3. Geometric Sequences and Series Visualizing the Graph 8.4. Mathematical Induction Mid-Chapter Mixed Review 8.5. Combinatorics: Permutations 8.6. Combinatorics: Combinations 8.7. The Binomial Theorem 8.8. Probability Study Guide Review Exercises Chapter Test Photo Credits Answers Additional Instructor’s Answers Index Table of Contents
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