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Algebra and Trigonometry: Graphs and Models, 6th edition

Published by Pearson (March 15, 2021) © 2021

  • Marvin L. Bittinger Indiana University Purdue University Indianapolis
  • Judith A. Beecher Indiana University Purdue University Indianapolis
  • David J. Ellenbogen Community College of Vermont
  • Judith A. Penna Indiana University Purdue University Indianapolis
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Visualize. Interact. Succeed. Algebra and Trigonometry: Graphs and Models helps you “see the math” through its focus on visualization and technology. Its consistent approach of focus on functions, visual emphasis, side-by-side algebraic and graphical solutions, and real-data applications helps you succeed in your math course. The 6th Edition enhances instruction on review topics. Integrated review provides just the help you need, when you need it. The authors also provide tools specifically created for students who may need additional practice, which can be used independently by students or by instructors in the classroom.

  • Preface
  • To the Student
  • Just-In-Time Review

1. Graphs, Functions, and Models

  • 1.1 Introduction to Graphing
  • Visualizing the Graph
  • 1.2 Functions and Graphs
  • 1.3 Linear Functions, Slope, and Applications
  • Visualizing the Graph
  • Mid-Chapter Mixed Review
  • 1.4 Equations of Lines and Modeling
  • 1.5 Linear Equations, Functions, Zeros, and Applications
  • 1.6 Solving Linear Inequalities
  • Study Guide
  • Review Exercises
  • Test

2. More on Functions

  • 2.1 Increasing, Decreasing, and Piecewise Functions; Applications
  • 2.2 The Algebra of Functions
  • 2.3 The Composition of Functions
  • Mid-Chapter Mixed Review
  • 2.4 Symmetry
  • 2.5 Transformations
  • Visualizing the Graph
  • 2.6 Variation and Application
  • Study Guide
  • Review Exercises
  • Test

3. Quadratic Functions and Equations; Inequalities

  • 3.1 The Complex Numbers
  • 3.2 Quadratic Equations, Functions, Zeros, and Models
  • 3.3 Analyzing Graphs of Quadratic Functions
  • Visualizing the Graph
  • Mid-Chapter Review
  • 3.4 Solving Rational Equations and Radical Equations
  • 3.5 Solving Equations and Inequalities with Absolute Value
  • Study Guide
  • Review Exercises
  • Test

4. Polynomial Functions and Rational Functions

  • 4.1 Polynomial Functions and Modeling
  • 4.2 Graphing Polynomial Functions
  • Visualizing the Graph
  • 4.3 Polynomial Division; The Remainder Theorem and the Factor Theorem
  • Mid-Chapter Mixed Review
  • 4.4 Theorems about Zeros of Polynomial Functions
  • 4.5 Rational Functions
  • Visualizing the Graph
  • 4.6 Polynomial Inequalities and Rational Inequalities
  • Study Guide
  • Review Exercises
  • Test

5. Exponential Functions and Logarithmic Functions

  • 5.1 Inverse Functions
  • 5.2 Exponential Functions and Graphs
  • 5.3 Logarithmic Functions and Graphs
  • Visualizing the Graph
  • Mid-Chapter Mixed Review
  • 5.4 Properties of Logarithmic Functions
  • 5.5 Solving Exponential Equations and Logarithmic Equations
  • 5.6 Applications and Models: Growth and Decay; Compound Interest
  • Study Guide
  • Review Exercises
  • Test

6. The Trigonometric Functions

  • 6.1 Trigonometric Functions of Acute Angles
  • 6.2 Applications of Right Triangles
  • 6.3 Trigonometric Functions of Any Angle
  • Mid-Chapter Mixed Review
  • 6.4 Radians, Arc Length, and Angular Speed
  • 6.5 Circular Functions: Graphs and Properties
  • 6.6 Graphs of Transformed Sine Functions and Cosine Functions
  • Visualizing the Graph
  • Study Guide
  • Review Exercises
  • Test

7. Trigonometric Identities, Inverse Functions, and Equations

  • 7.1 Identities: Pythagorean and Sum and Difference
  • 7.2 Identities: Cofunction, Double-Angle, and Half-Angle
  • 7.3 Proving Trigonometric Identities
  • Mid-Chapter Mixed Review
  • 7.4 Inverses of the Trigonometric Functions
  • 7.5 Solving Trigonometric Equations
  • Visualizing the Graph
  • Study Guide
  • Review Exercises
  • Test

8. Applications of Trigonometry

  • 8.1 The Law of Sines
  • 8.2 The Law of Cosines
  • 8.3 Complex Numbers: Trigonometric Notation
  • Mid-Chapter Mixed Review
  • 8.4 Polar Coordinates and Graphs
  • Visualizing the Graph
  • 8.5 Vectors and Applications
  • 8.6 Vector Operations
  • Study Guide
  • Review Exercises
  • Test

9. Systems of Equations and Matrices

  • 9.1 Systems of Equations in Two Variables
  • Visualizing the Graph
  • 9.2 Systems of Equations in Three Variables
  • 9.3 Matrices and Systems of Equations
  • 9.4 Matrix Operations
  • Mid-Chapter Mixed Review
  • 9.5 Inverses of Matrices
  • 9.6 Determinants and Cramer's Rule
  • 9.7 Systems of Inequalities and Linear Programming
  • 9.8 Partial Fractions
  • Study Guide
  • Review Exercises
  • Test

10. Analytic Geometry Topics

  • 10.1 The Parabola
  • 10.2 The Circle and the Ellipse
  • 10.3 The Hyperbola
  • 10.4 Nonlinear Systems of Equations and Inequalities
  • Visualizing the Graph
  • Mid-Chapter Mixed Review
  • 10.5 Rotation of Axes
  • 10.6 Polar Equations of Conics
  • 10.7 Parametric Equations
  • Study Guide
  • Review Exercises
  • Test

11. Sequences, Series, and Combinatorics

  • 11.1 Sequences and Series
  • 11.2 Arithmetic Sequences and Series
  • 11.3 Geometric Sequences and Series
  • Visualizing the Graph
  • 11.4 Mathematical Induction
  • Mid-Chapter Mixed Review
  • 11.5 Combinatorics: Permutations
  • 11.6 Combinatorics: Combinations
  • 11.7 The Binomial Theorem
  • 11.8 Probability
  • Study Guide
  • Review Exercises
  • Test

Photo Credits

Answers // Additional Instructor’s Answers

Index

Index of Applications

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