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Precalculus functions and graphs : a graphing approach Roland E. Larson, Robert P. Hostetler, Bruce H. Edwards, with the assistance of David C. Falvo.

Por: Colaborador(es): Detalles de publicación: Boston Hougton Mifflin Company c2001.Descripción: xxii, 768, A180 p. ill. (some col.) 25 cmISBN:
  • 0618052909
Tema(s): Clasificación CDD:
  • 512.1 L3345p3 20
Clasificación LoC:
  • QA331.3 .L37 1994
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Descripciones mejoradas de Syndetics:

As the best seller in its field, Precalculus Functions and Graphs: A Graphing Approach, is the choice for precalculus courses that require students to use graphing technology, begin with a faster paced algebra review, and introduce trigonometry first with a unit circle approach, then the right triangle. The Third Edition offers both instructors and students a more solid, comprehensive, and flexible program than ever before.For a complete listing of features, see Larson/Hostetler/Edwards, College Algebra: A Graphing Approach, 3/e.

Includes indexes.

Tabla de contenidos provista por Syndetics

  • Note: Each chaper concludes with a Chapter Summary, Review Exercises, and a Chapter Test
  • 1 Functions and Their Graphs Introduction to Library of Functions
  • 1.1 Lines in the Plane
  • 1.2 Functions
  • 1.3 Graphs of Functions
  • 1.4 Shifting, Reflecting, and Stretching Graphs
  • 1.5 Combinations of Functions
  • 1.6 Inverse Functions
  • 1.7 Exploring Data: Linear Models and Scatter Plots
  • 2 Polynomial and Rational Functions
  • 2.1 Quadratic Functions
  • 2.2 Polynomial Functions of Higher Degree
  • 2.3 Real Zeros of Polynomial Functions
  • 2.4 Complex Numbers
  • 2.5 The Fundamental Theorem of Algebra
  • 2.6 Rational Functions and Asymptotes
  • 2.7 Graphs of Rational Functions
  • 2.8 Exploring Data: Quadratic Models
  • 3 Exponential and Logarithmic Functions
  • 3.1 Exponential Functions and Their Graphs
  • 3.2 Logarithmic Functions and Their Graphs
  • 3.3 Properties of Logarithms
  • 3.4 Solving Exponential and Logarithmic Equations
  • 3.5 Exponential and Logarithmic Models
  • 3.6 Exploring Data: Nonlinear Models Cumulative Test: Chapters 1–3
  • 4 Trigonometric Functions
  • 4.1 Radian and Degree Measure
  • 4.2 Trigonmetric Functions: The Unit Circle
  • 4.3 Right Triangle Trigonometry
  • 4.4 Trigonometric Functions of Any Angle
  • 4.5 Graphs of Sine and Cosine Functions
  • 4.6 Graphs of Other Trigonometric Functions
  • 4.7 Inverse Trigonometric Functions
  • 4.8 Applications and Models
  • 5 Analytic Trigonometry
  • 5.1 Using Fundamental Identities
  • 5.2 Verifying Trigonometric Identities
  • 5.3 Solving Trigonometric Equations
  • 5.4 Sum and Difference Formulas
  • 5.5 Multiple-Angle and Product-to-Sum Formulas
  • 6 Additional Topics in Trigonometry
  • 6.1 Law of Sines
  • 6.2 Law of Cosines
  • 6.3 Vectors in the Plane
  • 6.4 Vectors and Dot Products
  • 6.5 Trigonometric Form of a Complex Number Cumulative Test: Chapters 4–6
  • 7 Linear Systems and Matrices
  • 7.1 Solving Systems of Equations
  • 7.2 Systems of Linear Equations in Two Variables
  • 7.3 Multivariable Linear Systems
  • 7.4 Matrices and Systems of Equations
  • 7.5 Operations with Matrices
  • 7.6 The Inverse of a Square Matrix
  • 7.7 The Determinant of a Square Matrix
  • 7.8 Applications of Matrices and Determinants
  • 8 Sequences, Series, and Probability
  • 8.1 Sequences and Series
  • 8.2 Arithmetic Sequences and Partial Sums
  • 8.3 Geometric Sequences and Series
  • 8.4 Mathematical Induction
  • 8.5 The Binomial Theorem
  • 8.6 Counting Principles
  • 8.7 Probability
  • 9 Topics in Analytic Geometry
  • 9.1 Introduction to Conics: Parabolas
  • 9.2 Ellipses
  • 9.3 Hyperbolas
  • 9.4 Rotation and Systems of Quadratic Equations
  • 9.5 Parametric Equations
  • 9.6 Polar Coordinates
  • 9.7 Graphs of Polar Equations
  • 9.8 Polar Equations of Conics Cumulative Test: Chapters 7–9
  • Appendix A Technology Support Guide
  • Appendix B Review of Graphs, Equations, and Inequalities
  • B.1 The Cartesian Plane
  • B.2 Graphs of Equations
  • B.3 Solving Equations Algebraically and Graphically
  • B.4 Solving Inequalities Algebraically and Graphically
  • B.5 Exploring Data: Representing Data Graphically
  • Appendix C Proofs of Selected Theorems
  • Appendix D Concepts in Statistics
  • D.1 Measures of Central Tendency and Dispersion
  • D.2 Least Squares Regression
  • Appendix E Solving Linear Equations and Inequalities
  • Appendix F Systems of Inequalities
  • F.1 Solving Systems of Inequalities
  • F.2 Linear Programming
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