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College Algebra: Graphs and Models, 7th edition

  • Marvin L. Bittinger
  • , Judith A. Beecher
  • , Judith A. Penna
  • , Barbara L. Johnson

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College Algebra: 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.

Published by Pearson (December 10th 2024) - Copyright © 2025

ISBN-13: 9780138240691

Subject: Precalculus, College Algebra & Trigonometry

Category: College Algebra

  • 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
  • Summary and Review
  • Review Exercises
  • Chapter 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 Applications
  • Summary and Review
  • Review Exercises
  • Chapter 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 Mixed Review
  • 3.4. Solving Rational Equations and Radical Equations
  • 3.5. Solving Equations and Inequalities with Absolute Value
  • Summary and Review
  • Review Exercises
  • Chapter 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
  • Chapter 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 364
  • Study Guide
  • Review Exercises
  • Chapter Test

6. Systems of Equations and Matrices

  • 6.1. Systems of Equations in Two Variables
  • Visualizing the Graph
  • 6.2. Systems of Equations in Three Variables
  • 6.3. Matrices and Systems of Equations
  • 6.4. Matrix Operations
  • Mid-Chapter Mixed Review
  • 6.5. Inverses of Matrices
  • 6.6. Determinants and Cramer's Rule
  • 6.7. Systems of Inequalities and Linear Programming
  • 6.8. Partial Fractions
  • Study Guide
  • Review Exercises
  • Chapter Test

7. Conic Sections

  • 7.1. The Parabola
  • 7.2. The Circle and the Ellipse
  • Mid-Chapter Mixed Review
  • 7.3. The Hyperbola
  • 7.4. Nonlinear Systems of Equations and Inequalities
  • Visualizing the Graph
  • Study Guide
  • Review Exercises
  • Chapter Test

8. Sequences, Series, and Combinatorics

  • 8.1. Sequences and Series
  • 8.2. Arithmetic Sequences and Series
  • 8.3. Geometric Sequences and Series
  • Visualizing the Graph
  • 8.4. Mathematical Induction
  • Mid-Chapter Mixed Review
  • 8.5. Combinatorics: Permutations
  • 8.6. Combinatorics: Combinations
  • 8.7. The Binomial Theorem
  • 8.8. Probability
  • Study Guide
  • Review Exercises
  • Chapter Test

Photo Credits

Answers

Additional Instructor's Answers

Index

Index of Applications