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Preface To The Student Acknowledgments Index of Applications 1. Linear Equations and Linear Functions 1.1 Using Qualitative Graphs to Describe Situations 1.2 Graphing Linear Equations 1.3 Slope of a Line 1.4 Meaning of Slope for Equations, Graphs, and Tables 1.5 Finding Linear Equations 1.6 Functions Chapter Summary Key Points of Chapter 1 Chapter 1 Review Exercises Chapter 1 Test 2. Modeling With Linear Functions 2.1 Using Lines to Model Data 2.2 Finding Equations of Linear Models 2.3 Function Notation and Making Predictions 2.4 Slope Is a Rate of Change Taking It to the Lab: Climate Change Lab * Used Car Lab * Golf Ball Lab * Walking Student Lab * Linear Model Lab: Topic of Your Choice Chapter Summary Key Points of Chapter 2 Chapter 2 Review Exercises Chapter 2 Test 3. Systems of Linear Equations 3.1 Using Graphs and Tables to Solve Systems 3.2 Using Substitution and Elimination to Solve Systems 3.3 Using Systems to Model Data 3.4 Value, Interest, and Mixture Problems 3.5 Using Linear Inequalities in One Variable to Make Predictions 3.6 Linear Inequalities in Two Variables; Systems of Linear Inequalities Taking It to the Lab: Climate Change Lab * Sports Lab * Truck Lab Chapter Summary Key Points of Chapter 3 Chapter 3 Review Exercises Chapter 3 Test Cumulative Review of Chapters 1—3 4. Exponential Functions 4.1 Properties of Exponents 4.2 Rational Exponents 4.3 Graphing Exponential Functions 4.4 Finding Equations of Exponential Functions 4.5 Using Exponential Functions to Model Data Taking It to the Lab: Stringed Instrument Lab * Cooling Water Lab * Exponential Lab: Topic of Y our Choice Chapter Summary Key Points of Chapter 4 Chapter 4 Review Exercises Chapter 4 Test 5. Logarithmic Functions 5.1 Composite Functions 5.2 Inverse Functions 5.3 Logarithmic Functions 5.4 Properties of Logarithms 5.5 Using the Power Property with Exponential Models to Make Predictions 5.6 More Properties of Logarithms 5.7 Natural Logarithms Taking It to the Lab: China and India Populations Lab Folding Paper Lab Exponential/Logarithmic Lab: Topic of Your Choice Chapter Summary Key Points of Chapter 5 Chapter 5 Review Exercises Chapter 5 Test Cumulative Review of Chapters 1—5 6. Polynomial Functions 6.1 Adding and Subtracting Polynomial Expressions and Functions 6.2 Multiplying Polynomial Expressions and Functions 6.3 Dividing Polynomials: Long Division and Synthetic Division 6.4 Factoring Trinomials of the Form x2 + bx + c; Factoring Out the GCF 6.5 Factoring Polynomials 6.6 Factoring Special Binomials; A Factoring Strategy 6.7 Using Factoring to Solve Polynomial Equations Taking It to the Lab: Climate Change Lab * Projectile Lab Chapter Summary Key Points of Chapter 6 Chapter 6 Review Exercises Chapter 6 Test 7. Quadratic Functions 7.1 Graphing Quadratic Functions in Vertex Form 7.2 Graphing Quadratic Functions in Standard Form 7.3 Using the Square Root Property to Solve Quadratic Equations 7.4 Solving Quadratic Equations by Completing the Square 7.5 Using the Quadratic Formula to Solve Quadratic Equations 7.6 Solving Systems of Linear Equations in Three Variables; Finding Quadratic Functions 7.7 Finding Quadratic Models 7.8 Modeling with Quadratic Functions Taking It to the Lab: Climate Change Lab Projectile Lab Projectile Lab (Using a CBR or CBL) Water Flow Lab Quadratic Lab: Topic of Your Choice Chapter Summary Key Points of Chapter 7 Chapter 7 Review Exercises Chapter 7 Test Cumulative Review of Chapters 1—7 8. Rational Functions 8.1 Finding the Domains of Rational Functions and Simplifying Rational Expressions 8.2 Multiplying and Dividing Rational Expressions; Converting Units 8.3 Adding and Subtracting Rational Expressions 8.4 Simplifying Complex Rational Expressions 8.5 Solving Rational Equations 8.6 Modeling with Rational Functions 8.7 Variation Taking It to the Lab: Climate Change Lab * Illumination Lab * Boyle’s Law Lab Chapter Summary Key Points of Chapter 8 Chapter 8 Review Exercises Chapter 8 Test 9. Radical Functions 9.1 Simplifying Radical Expressions 9.2 Adding, Subtracting, and Multiplying Radical Expressions 9.3 Rationalizing Denominators and Simplifying Quotients of Radical Expressions 9.4 Graphing and Combining Square Root Functions 9.5 Solving Radical Equations 9.6 Modeling with Square Root Functions Taking It to the Lab: Pendulum Lab Chapter Summary Key Points of Chapter 9 Chapter 9 Review Exercises Chapter 9 Test 10. Sequences and Series 10.1 Arithmetic Sequences 10.2 Geometric Sequences 10.3 Arithmetic Series 10.4 Geometric Series Taking It to the Lab: Bouncing Ball Lab * Stacked Cups Lab Chapter Summary Key Points of Chapter 10 Chapter 10 Review Exercises Chapter 10 Test Cumulative Review of Chapters 1—10 11. Additional Topics 11.1 Absolute Value: Equations and Inequalities Key Points of Section 11.1 11.2 Performing Operations with Complex Numbers Key Points of Section 11.2 11.3 Pythagorean Theorem, Distance Formula, and Circles Key Points of Section 11.3 11.4 Ellipses and Hyperbolas Key Points of Section 11.4 11.5 Solving Nonlinear Systems of Equations Key Points of Section 11.5 A. Reviewing Prerequisite Material A.1 Plotting Points A.2 Identifying Types of Numbers A.3 Absolute Value A.4 Performing Operations with Real Numbers A.5 Exponents A.6 Order of Operations A.7 Constants, Variables, Expressions, and Equations A.8 Distributive Law A.9 Combining Like Terms A.10 Solving Linear Equations in One Variable A.11 Solving Equations in Two or More Variables A.12 Equivalent Expressions and Equivalent Equations B. Using a TI-83 or TI-84 Graphing Calculator (available online) B.1 Turning a Graphing Calculator On or Off B.2 Making the Screen Lighter or Darker B.3 Entering an Equation B.4 Graphing an Equation B.5 Tracing a Curve without a Scattergram B.6 Zooming B.7 Setting the Window Format B.8 Plotting Points in a Scattergram B.9 Tracing a Scattergram B.10 Graphing Equations with a Scattergram B.11 Tracing a Curve with a Scattergram B.12 Turning a Plotter On or Off B.13 Creating a Table B.14 Creating a Table for Two Equations B.15 Using “Ask” in a Table B.16 Finding the Regression Curve for Some Data B.17 Plotting Points in Two Scattergrams B.18 Finding the Intersection Point(s) of Two Curves B.19 Finding the Minimum Point(s) or Maximum Point(s) of a Curve B.20 Storing a Value B.21 Finding Any x-Intercepts of a Curve B.22 Turning an Equation On or Off B.23 Finding Coordinates of Points B.24 Graphing Equations with Axes “Turned Off” B.25 Entering an Equation by Using Yn References B.26 Responding to Error Messages Answers to Odd-Numbered Exercises Index Table of Contents
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