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Precalculus a Graphing Approach a Graphic Approach

by Ron Larson

  • ISBN: 9780618394661
  • ISBN10: 0618394664

Precalculus a Graphing Approach a Graphic Approach

by Ron Larson

  • List Price: $299.95
  • Binding: Hardcover
  • Edition: 4
  • Publisher: Cengage
  • Publish date: 01/01/2004
  • ISBN: 9780618394661
  • ISBN10: 0618394664
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Description: Contents Note: Each chapter concludes with a Chapter Summary, Review Exercises, and a Chapter Test. P. Prerequisites P.1 Real Numbers P.2 Exponents and Radicals P.3 Polynomials and Factoring P.4 Rational Expressions P.5 The Cartesian Plane P.6 Exploring Data: Representing Data Graphically 1. Functions and Their Graphs Introduction to Library of Functions 1.1 Graphs of Equations 1.2 Lines in the Plane 1.3 Functions 1.4 Graphs of Functions 1.5 Shifting, Reflecting, and Stretching Graphs 1.6 Combinations of Functions 1.7 Inverse Functions 2. Solving Equations and Inequalities 2.1 Linear Equations and Problem Solving 2.2 Solving Equations Graphically 2.3 Complex Numbers 2.4 Solving Equations Algebraically 2.5 Solving Inequalities Algebraically and Graphically 2.6 Exploring Data: Linear Models and Scatter Plots Cumulative Test: Chapters P2 3. Polynomial and Rational Functions 3.1 Quadratic Functions 3.2 Polynomial Functions of Higher Degree 3.3 Real Zeros of Polynomial Functions 3.4 The Fundamental Theorem of Algebra 3.5 Rational Functions and Asymptotes 3.6 Graphs of Rational Functions 3.7 Exploring Data: Quadratic Models 4. Exponential and Logarithmic Functions 4.1 Exponential Functions and Their Graphs 4.2 Logarithmic Functions and Their Graphs 4.3 Properties of Logarithms 4.4 Solving Exponential and Logarithmic Equations 4.5 Exponential and Logarithmic Models 4.6 Exploring Data: Nonlinear Models Cumulative Test: Chapters 34 5. Trigonometric Functions 5.1 Angles and Their Measure 5.2 Right Triangle Trigonometry 5.3 Trigonometric Functions of Any Angle 5.4 Graphs of Sine and Cosine Functions 5.5 Graphs of Other Trigonometric Functions 5.6 Inverse Trigonometric Functions 5.7 Applications and Models 6. Analytic Trigonometry 6.1 Using Fundamental Identities 6.2 Verifying Trigonometric Identities 6.3 Solving Trigonometric Equations 6.4 Sum and Difference Formulas 6.5 Multiple-Angle and Product-to-Sum Formulas 7. Additional Topics in Trigonometry 7.1 Law of Sines 7.2 Law of Cosines 7.3 Vectors in the Plane 7.4 Vectors and Dot Products 7.5 Trigonometric Form of a Complex Number Cumulative Test: Chapters 57 8. Linear Systems and Matrices 8.1 Solving Systems of Equations 8.2 Systems of Linear Equations in Two Variables 8.3 Multivariable Linear Systems 8.4 Matrices and Systems of Equations 8.5 Operations with Matrices 8.6 The Inverse of a Square Matrix 8.7 The Determinant of a Square Matrix 8.8 Applications of Matrices and Determinants 9. Sequences, Series, and Probability 9.1 Sequences and Series 9.2 Arithmetic Sequences and Partial Sums 9.3 Geometric Sequences and Series 9.4 Mathematical Induction 9.5 The Binomial Theorem 9.6 Counting Principles 9.7 Probability 10. Topics in Analytic Geometry 10.1 Conics 10.2 Translations of Conics 10.3 Parametric Equations 10.4 Polar Coordinates 10.5 Graphs of Polar Equations 10.6 Polar Equations of Conics Cumulative Test: Chapters 810 Appendix A Technology Support Guide Appendix B Proofs of Selected Theorems Appendix C Concepts in Statistics C.1 Measures of Central Tendency and Dispersion C.2 Least Squares Regression Appendix D Solving Linear Equations and Inequalities Appendix E Systems of Inequalities E.1 Solving Systems of Inequalities E.2 Linear Programming
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