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Copyright, ii
Preface, vii
To the Student, xii
Index of Applications, xiv
1. Linear Equations and Linear Functions, 1
1.1. Using Qualitative Graphs to Describe Situations, 1
1.2. Graphing Linear Equations, 7
1.3. Slope of a Line, 16
1.4. Meaning of Slope for Equations, Graphs, and Tables, 25
1.5. Finding Linear Equations, 34
1.6. Functions, 41
Chapter Summary, 50
Key Points of Chapter 1, 50
Chapter 1 Review Exercises, 52
Chapter 1 Test, 53
2. Modeling with Linear Functions, 55
2.1. Using Lines to Model Data, 55
2.2. Finding Equations of Linear Models, 65
2.3. Function Notation and Making Predictions, 74
2.4. Slope Is a Rate of Change, 88
Chapter Summary, 98
Key Points of Chapter 2, 98
Chapter 2 Review Exercises, 100
Chapter 2 Test, 101
3. Systems of Linear Equations, 103
3.1. Using Graphs and Tables to Solve Systems, 103
3.2. Using Substitution and Elimination to Solve Systems, 113
3.3. Using Systems to Model Data, 124
3.4. Value, Interest, and Mixture Problems, 131
3.5. Using Linear Inequalities in One Variable to Make Predictions, 143
Chapter Summary, 155
Key Points of Chapter 3, 155
Chapter 3 Review Exercises, 156
Chapter 3 Test, 158
Cumulative Review of Chapters 1–3, 159
4. Exponential Functions, 162
4.1. Properties of Exponents, 162
4.2. Rational Exponents, 175
4.3. Graphing Exponential Functions, 183
4.4. Finding Equations of Exponential Functions, 193
4.5. Using Exponential Functions to Model Data, 200
Chapter Summary, 214
Key Points of Chapter 4, 214
Chapter 4 Review Exercises, 216
Chapter 4 Test, 217
5. Logarithmic Functions, 219
5.1. Inverse Functions, 219
5.2. Logarithmic Functions, 230
5.3. Properties of Logarithms, 236
5.4. Using the Power Property with Exponential Models to Make Predictions, 244
5.5. More Properties of Logarithms, 253
5.6. Natural Logarithms, 260
Chapter Summary, 267
Key Points of Chapter 5, 267
Chapter 5 Review Exercises, 269
Chapter 5 Test, 270
Cumulative Review of Chapters 1–5, 271
6. Polynomial Functions, 274
6.1. Adding and Subtracting Polynomial Expressions and Functions, 274
6.2. Multiplying Polynomial Expressions and Functions, 285
6.3. Factoring Trinomials of the Form x^2 +bx +c; Factoring Out the GCF, 295
6.4. Factoring Polynomials, 304
6.5. Factoring Special Binomials; A Factoring Strategy, 311
6.6. Using Factoring to Solve Polynomial Equations, 317
Chapter Summary, 331
Key Points of Chapter 6, 331
Chapter 6 Review Exercises, 333
Chapter 6 Test, 334
7. Quadratic Functions, 336
7.1. Graphing Quadratic Functions in Vertex Form, 336
7.2. Graphing Quadratic Functions in Standard Form, 347
7.3. Using the Square Root Property to Solve Quadratic Equations, 359
7.4. Solving Quadratic Equations by Completing the Square, 371
7.5. Using the Quadratic Formula to Solve Quadratic Equations, 377
7.6. Solving Systems of Linear Equations in Three Variables; Finding Quadratic Functions, 388
7.7. Finding Quadratic Models, 396
7.8. Modeling with Quadratic Functions, 403
Chapter Summary, 413
Key Points of Chapter 7, 413
Chapter 7 Review Exercises, 416
Chapter 7 Test, 418
Cumulative Review of Chapters 1–7, 419
8. Rational Functions, 422
8.1. Finding the Domains of Rational Functions and Simplifying Rational Expressions, 422
8.2. Multiplying and Dividing Rational Expressions, 434
8.3. Adding and Subtracting Rational Expressions, 440
8.4. Simplifying Complex Rational Expressions, 451
8.5. Solving Rational Equations, 459
8.6. Modeling with Rational Functions, 469
8.7. Variation, 481
Chapter Summary, 495
Key Points of Chapter 8, 495
Chapter 8 Review Exercises, 498
Chapter 8 Test, 499
9. Radical Functions, 501
9.1. Simplifying Radical Expressions, 501
9.2. Adding, Subtracting, and Multiplying Radical Expressions, 511
9.3. Rationalizing Denominators and Simplifying Quotients of Radical Expressions, 518
9.4. Graphing and Combining Square Root Functions, 526
9.5. Solving Radical Equations, 532
9.6. Modeling with Square Root Functions, 542
Chapter Summary, 550
Key Points of Chapter 9, 550
Chapter 9 Review Exercises, 553
Chapter 9 Test, 554
10. Sequences and Series, 555
10.1. Arithmetic Sequences, 555
10.2. Geometric Sequences, 561
10.3. Arithmetic Series, 568
10.4. Geometric Series, 573
Chapter Summary, 579
Key Points of Chapter 10, 579
Chapter 10 Review Exercises, 580
Chapter 10 Test, 580
Cumulative Review of Chapters 1–10, 581
11. Additional Topics, 584
11.1. Absolute Value: Equations and Inequalities, 584
11.2. Linear Inequalities in Two Variables; Systems of Linear Inequalities, 592
11.3. Performing Operations with Complex Numbers, 601
11.4. Pythagorean Theorem, Distance Formula, and Circles, 606
11.5. Ellipses and Hyperbolas, 614
11.6. Solving Nonlinear Systems of Equations, 622
A. Reviewing Prerequisite Material, 628
A.1. Plotting Points, 628
A.2. Identifying Types of Numbers, 628
A.3. Absolute Value, 629
A.4. Performing Operations with Real Numbers, 629
A.5. Exponents, 630
A.6. Order of Operations, 631
A.7. Constants, Variables, Expressions, and Equations, 631
A.8. Distributive Law, 632
A.9. Combining Like Terms, 632
A.10. Solving Linear Equations in One Variable, 633
A.11. Solving Equations in Two or More Variables, 634
A.12. Equivalent Expressions and Equivalent Equations, 635
B. Using a TI-83 or TI-84 Graphing Calculator, 637
B.1. Turning a Graphing Calculator On or Off, 637
B.2. Making the Screen Lighter or Darker, 637
B.3. Entering an Equation, 637
B.4. Graphing an Equation, 638
B.5. Tracing a Curve without a Scattergram, 638
B.6. Zooming, 638
B.7. Setting the Window Format, 639
B.8. Plotting Points in a Scattergram, 640
B.9. Tracing a Scattergram, 640
B.10. Graphing Equations with a Scattergram, 641
B.11. Tracing a Curve with a Scattergram, 641
B.12. Turning a Plotter On or Off, 641
B.13. Creating a Table, 641
B.14. Creating a Table for Two Equations, 642
B.15. Using “Ask” in a Table, 642
B.16. Finding the Regression Curve for Some Data, 642
B.17. Plotting Points in Two Scattergrams, 643
B.18. Finding the Intersection Point(s) of Two Curves, 644
B.19. Finding the Minimum or Maximum of a Curve, 644
B.20. Storing a Value, 645
B.21. Finding Any x-Intercepts of a Curve, 645
B.22. Turning an Equation On or Off, 645
B.23. Finding Coordinates of Points, 645
B.24. Graphing Equations with Axes “Turned Off”, 646
B.25. Entering an Equation by Using Y_n References, 646
B.26. Responding to Error Messages, 646
Answers to Odd-Numbered Exercises, 649
Index, I-1

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