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Modeling functions and graphs algebra for college students

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Authors
Katherine and Bruce Yoshiwara
Edition
Third Edition
Published
March 12, 2013
Language
English
Pages
800
File Format
PDF
File Size
4.96 MB

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Modeling functions and graphs algebra for college students

  1. 1. Modeling, Functions, and Graphs
  2. 2. CHAPTER 9 Contents Sequences and Series 571 I N V E S T I G A T I O N 1 4 Scheduling a Soccer 11.1 Conic Sections 681 11.2 Translated Conics 699 11.3 Systems of Quadratic Equations 714 Midchapter Review 722 11.4 Linear Programming 723 League 571 11.5 Displaying Data 734 9.1 Sequences 573 Chapter 11 Review 748 9.2 Arithmetic and Geometric Sequences 582 9.3 Series 591 Midchapter Review 598 9.4 Sigma Notation and Infinite Geometric Series 599 9.5 The Binomial Expansion 607 Algebraic Expressions 753 A.2 Linear Equations 762 A.3 Facts from Geometry 771 Pascal’s Triangle 618 A.4 Graphs 780 Chapter 9 Review 619 A.5 Laws of Exponents 788 A.6 Products and Factoring 794 A.7 Summarizing Data 804 Solving Systems by Algebraic Methods 98 I N V E S T I G A T I O N 1 6 Pascal’s Triangle 610 2.3 Linear Models 1 Systems of Linear Equations in Three Variables 109 I N V E S T I G A T I O N 1 7 Other Properties of Midchapter Review 122 2.4 I N V E S T I G A T I O N 1 Sales on Commission 1 Solving Linear Systems Using Matrices 124 1.1 Some Examples of Linear Models 3 1.2 Using a Graphing Calculator 11 2.5 1.3 Slope 23 Review Topics 753 A.1 I N V E S T I G A T I O N 1 5 Powers of Binomials 607 2.2 CHAPTER 1 APPENDIX A Chapter 2 Review 141 CHAPTER 10 Linear Inequalities in Two Variables 132 More About Functions 623 Midchapter Review 35 I N V E S T I G A T I O N 2 The Coefficients in a Linear APPENDIX B Quadratic Models 143 10.2 Using Function Notation 635 I N V E S T I G A T I O N 4 Falling 143 B.1 Real Numbers 811 10.3 Inverse Functions 642 3.1 Lines of Best Fit 54 1.6 Extraction of Roots 144 B.2 Complex Numbers 814 Midchapter Review 653 Some Examples of Quadratic Models 154 10.4 More About Modeling 654 I N V E S T I G A T I O N 1 8 Transformations of Graphs 623 Equations of Lines 40 1.5 The Number System 811 3.2 1.4 10.1 Transformations of Functions 625 CHAPTER 3 Equation 38 Additional Properties of Lines 68 Chapter 1 Review 78 I N V E S T I G A T I O N 5 Perimeter and Area 154 Chapter 10 Review 674 Solving Quadratic Equations by Factoring 160 Midchapter Review 169 3.4 Completing the Square 180 3.6 Systems of Linear Equations in Two Variables 86 CHAPTER 11 Graphing Parabolas; Special Cases 170 3.5 I N V E S T I G A T I O N 3 Water Level 85 2.1 10.5 Joint Variation 663 3.3 Applications of Linear Models 85 I N V E S T I G A T I O N 1 9 Periodic Functions 654 I N V E S T I G A T I O N 6 Height of a Baseball 155 CHAPTER 2 Quadratic Formula 188 More About Graphs 679 I N V E S T I G A T I O N 2 0 Global Positioning Chapter 3 Review 197 System 679 v CHAPTER 4 Midchapter Review 383 6.4 Applications of Quadratic Models 199 The Distance and Midpoint Formulas 384 6.5 Working with Radicals 395 6.6 Radical Equations 403 Chapter 6 Review 413 I N V E S T I G A T I O N 7 Revenue from Theater Tickets 199 4.1 Graphing Parabolas; the General Case 201 4.2 Curve Fitting 212 4.3 Problem Solving 223 Midchapter Review 232 4.4 Quadratic Inequalities 234 4.5 Solving Quadratic Inequalities Algebraically 242 Chapter 4 Review 247 CHAPTER 7 Exponential and Logarithmic Functions 417 7.1 Exponential Growth and Decay 417 I N V E S T I G A T I O N 1 1 Population Growth 417 I N V E S T I G A T I O N 1 2 Exponential Decay 424 Functions and Their Graphs 249 7.2 Exponential Functions 434 7.3 CHAPTER 5 Logarithms 449 Midchapter Review 459 7.4 Logarithmic Functions 461 7.5 Properties of Logarithms 473 I N V E S T I G A T I O N 8 Epidemics 249 7.6 The Natural Base 483 5.1 Definitions and Notation 251 Chapter 7 Review 496 5.2 Graphs of Functions 266 5.3 Some Basic Graphs 278 I N V E S T I G A T I O N 9 Eight Basic Functions 280 Midchapter Review 290 5.4 Domain and Range 292 5.5 Variation 301 5.6 CHAPTER 8 Polynomi