Algebra & Trigonometry: Graphs and Models, A Right Triangle Approach, 7th edition

Published by Pearson (September 2, 2025) © 2025

  • Marvin L. Bittinger Indiana University Indianapolis
  • Judith A. Beecher Indiana University Indianapolis
  • Judith A. Penna Indiana University Indianapolis
  • Barbara L. Johnson Indiana University Indianapolis
eTextbook in Pearson+

In this eTextbook — More ways to learn

  • More flexible. Start learning right away, on any device.
  • More supportive. Get AI explanations and practice questions (select titles).
  • More interactive. Bring learning to life with audio, videos, and diagrams.
  • More memorable. Make concepts stick with highlights, search, notes, and flashcards.
  • More understandable. Translate text into 100+ languages with one tap.
Products list

In this eTextbook — More ways to learn

  • More flexible. Start learning right away, on any device.
  • More supportive. Get AI explanations and practice questions (select titles).
  • More interactive. Bring learning to life with audio, videos, and diagrams.
  • More memorable. Make concepts stick with highlights, search, notes, and flashcards.
  • More understandable. Translate text into 100+ languages with one tap.

Title overview

Algebra & Trigonometry: Graphs and Models helps you visualize and interact with the material so you can succeed in this course. You’ll be able to “see the math” through the authors’ emphasis on visualization and technology, which includes a consistent focus on functions, side-by-side algebraic and graphical solutions, and real-data applications. Functions are presented as a thread that runs throughout the course rather than as an isolated topic. A variety of examples and exercises connect the mathematical content with everyday life, encouraging you to see and interpret the math that appears every day in your world.

The 7th Edition adds all-new Check Your Understanding exercises, adds a new Just-in-Time Review topic on Fractions and Mixed Numerals, expands introduction to nonlinear functions, and much more.

Table of contents

  • 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

Need help?Get in touch