You are previewing Precalculus: A Functional Approach to Graphing and Problem Solving, 6th Edition.
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Precalculus: A Functional Approach to Graphing and Problem Solving, 6th Edition

Book Description

Get the most out of your course with the Student Survival Guide and Solutions Manual to accompany Precalculus: A Functional Approach to Graphing and Problem Solving, Sixth Edition! This manual provides numerous study aids, learning tools, and worked solutions to help students fulling understand, retain, and reinforce the material discussed in the text.

Table of Contents

  1. Cover Page
  2. Title Page
  3. Copyright Page
  4. Dedication Page
  5. Table of Contents
  6. A Note about Calculator Usage
  7. Preface
  8. Problem Solving
  9. Acknowledgments
  10. About the Author
  11. Fundamental Concepts
    1. Chapter 1: Algebraic and Geometrical Foundations
      1. 1.1: Real Numbers
      2. 1.2: Algebraic Expressions
      3. 1.3: Equations of Lines
      4. 1.4: Distance and Symmetry
      5. 1.5: Linear Inequalities and Coordinate Systems
      6. 1.6: Absolute Value Equations and Inequalities
      7. *1.7: What is Calculus?
      8. 1.8: Equations for Calculus
      9. 1.9: Inequalities for Calculus
      10. Chapter 1: Summary and Review
  12. Functions and Graphing
    1. Chapter 2: Functions with Problem Solving
      1. 2.1: Problem Solving
      2. 2.2: Introduction to Functions
      3. 2.3: Graph of a Function
      4. 2.4: Transformations of Functions
      5. 2.5: Piecewise Functions
      6. 2.6: Composition and Operations of Functions
      7. 2.7: Inverse Functions
      8. 2.8: Limits and Continuity
      9. Chapter 2: Summary and Review
    2. Chapter 3: Polynomial Functions
      1. 3.1: Linear Functions
      2. 3.2: Quadratic Functions
      3. 3.3: Optimization Problems
      4. 3.4: Parametric Equations
      5. 3.5: Graphing Polynomial Functions
      6. 3.6: Polynomial Equations
      7. Chapter 3: Summary and Review
    3. Chapter 4: Additional Functions
      1. 4.1: Rational Functions
      2. 4.2: Radical Functions
      3. 4.3: Real Roots of Rational and Radical Equations
      4. 4.4: Exponential Functions
      5. 4.5: Logarithmic Functions
      6. 4.6: Logarithmic Equations
      7. 4.7: Exponential Equations
      8. Chapter 4: Summary and Review
  13. Trigonometry
    1. Chapter 5: Trigonometric Functions
      1. 5.1: Angles
      2. 5.2: Fundamentals
      3. 5.3: Trigonometric Functions of Any Angle
      4. 5.4: Graphs of the Trigonometric Functions
      5. 5.5: Inverse Trigonometric Functions
      6. 5.6: Right Triangles
      7. 5.7: Oblique Triangles
      8. Chapter 5: Summary and Review
    2. Chapter 6: Trigonometric Equations and Identities
      1. 6.1: Trigonometric Equations
      2. 6.2: Proving Identities
      3. 6.3: Addition Laws
      4. 6.4: Miscellaneous Identities
      5. *6.5: De Moivre's Theorem
      6. Chapter 6: Summary and Review
  14. Advanced Algebra Topics and Analytic Geometry
    1. Chapter 7: Analytic Geometry
      1. 7.1: Parabolas
      2. 7.2: Ellipses
      3. 7.3: Hyperbolas
      4. 7.4: Rotations
      5. *7.5: Polar Coordinates
      6. 7.6: Graphing in Polar Coordinates
      7. 7.7: Conic Sections in Polar Form
      8. Chapter 7: Summary and Review
    2. Chapter 8: Sequences, Systems, and Matrices
      1. 8.1: Sequences
      2. *8.2: Limit of a Sequence
      3. 8.3: Series
      4. 8.4: Systems of Equations
      5. 8.5: Matrix Solution of a System of Equations
      6. 8.6: Inverse Matrices
      7. 8.7: Systems of Inequalities
      8. Chapter 8: Summary and Review
    3. Chapter 9: Vectors and Solid Analytic Geometry
      1. *9.1: Vectors in the Plane
      2. *9.2: Quadric Surfaces and Graphing in Three Dimensions
      3. *9.3: The Dot Product
      4. *9.4: The Cross Product
      5. *9.5: Lines and Planes in Space
      6. Chapter 9: Summary and Review
  15. Appendices
    1. Appendix A: Field Properties
    2. Appendix B: Complex Numbers
    3. Appendix C: Mathematical Induction
    4. Appendix D: Binomial Theorem
    5. Appendix E: Determinants and Cramer's Rule
    6. Appendix F: Library of Curves and Surfaces
    7. Appendix G: Answers
  16. Index