Graphical Approach to College Algebra, A, 7th edition
- John Hornsby
- , Margaret L. Lial
- , Gary K. Rockswold
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A Graphical Approach to College Algebra covers functions through a consistent, 4-part process. The authors ask you to 1: [See] Examine the nature of the graph; 2: Solve a typical equation analytically and graphically; 3: Solve the related inequality analytically and graphically; 4: Apply analytic and graphical methods to solve an application. This proven approach fosters a deep visual and graphical understanding of math, solidifying a stronger connection to the mathematical world around us. Careful chapter layouts, exercises, review questions and chapter features give you a comprehensive roadmap for success in the course. The 7th Edition adds a new Unifying the Function feature after introducing each major class of functions; updates data throughout with new topics including active Twitter users, organic food sales and more; adds nearly 500 new or updated exercises; and much more.
Published by Pearson (December 11th 2020) - Copyright © 2019
ISBN-13: 9780137399918
Subject: Precalculus, College Algebra & Trigonometry
Category: College Algebra
- Linear Functions, Equations, and Inequalities
- 1.1 Real Numbers and the Rectangular Coordinate System
- 1.2 Introduction to Relations and Functions
- Reviewing Basic Concepts (Sections 1.1 - 1.2)
- 1.3 Linear Functions
- 1.4 Equations of Lines and Linear Models
- Reviewing Basic Concepts (Sections 1.3 - 1.4)
- 1.5 Linear Equations and Inequalities
- Unifying Linear Functions
- 1.6 Applications of Linear Functions
- Reviewing Basic Concepts (Sections 1.5 - 1.6)
- Summary
- Review Exercises
- Test
- Analysis of Graphs of Functions
- 2.1 Graphs of Basic Functions and Relations; Symmetry
- 2.2 Vertical and Horizontal Shifts of Graphs
- 2.3 Stretching, Shrinking, and Reflecting Graphs
- Reviewing Basic Concepts (Sections 2.1 - 2.3)
- 2.4 Absolute Value Functions
- Unifying Absolute Value Functions
- 2.5 Piecewise-Defined Functions
- 2.6 Operations and Composition
- Reviewing Basic Concepts (Sections 2.4 - 2.6)
- Summary
- Review Exercises
- Test
- Quadratic Functions
- 3.1 Complex Numbers
- 3.2 Quadratic Functions and Graphs
- Reviewing Basic Concepts (Sections 3.1 - 3.2)
- 3.3 Quadratic Equations and Inequalities
- Unifying Quadratic Functions
- 3.4 Applications of Quadratic Functions and Models
- Reviewing Basic Concepts (Sections 3.3 - 3.4)
- Summary
- Review Exercises
- Test
- Polynomial Functions of Higher Degree
- 4.1 Graphs of Polynomial Functions
- 4.2 Topics in the Theory of Polynomial Functions (I)
- Reviewing Basic Concepts (Sections 4.1 - 4.2)
- 4.3 Topics in the Theory of Polynomial Functions (II)
- 4.4 Polynomial Equations, Inequalities, Applications, and Models
- Reviewing Basic Concepts (Sections 4.3 - 4.4)
- Unifying Polynomial Functions
- Summary
- Review Exercises
- Test
- Rational, Power, and Root Functions
- 5.1 Rational Functions and Graphs (I)
- 5.2 Rational Functions and Graphs (II)
- 5.3 Rational Equations, Inequalities, Models, and Applications
- 5.4 Functions Defined by Powers and Roots
- 5.5 Equations, Inequalities, and Applications Involving Root Functions
- Reviewing Basic Concepts (Sections 5.4 - 5.5)
- Unifying Root Functions
- Summary
- Review Exercises
- Test
- Inverse, Exponential, and Logarithmic Functions
- 6.1 Inverse Functions
- 6.2 Exponential Functions
- 6.3 Logarithms and Their Properties
- 6.4 Logarithmic Functions
- 6.5 Exponential and Logarithmic Equations and Inequalities
- 6.6 Further Applications and Modeling with Exponential and Logarithmic Functions
- Reviewing Basic Concepts (Sections 6.4 - 6.6)
- Summary
- Review Exercises
- Test
- Systems and Matrices
- 7.1 Systems of Equations
- 7.2 Solution of Linear Systems in Three Variables
- 7.3 Solution of Linear Systems by Row Transformations
- Reviewing Basic Concepts (Sections 7.1 - 7.3)
- 7.4 Matrix Properties and Operations
- 7.5 Determinants and Cramer’s Rule
- 7.6 Solution of Linear Systems by Matrix Inverses
- Reviewing Basic Concepts (Sections 7.4 - 7.6)
- 7.7 Systems of Inequalities and Linear Programming
- 7.8 Partial Fractions
- Reviewing Basic Concepts (Sections 7.7 - 7.8)
- Summary
- Review Exercises
- Test
- Conic Sections, Nonlinear Systems, and Parametric Equations
- 8.1 Circles Revisited and Parabolas
- 8.2 Ellipses and Hyperbolas
- Reviewing Basic Concepts (Sections 8.1 - 8.2)
- 8.3 The Conic Sections and Nonlinear Systems
- 8.4 Introduction to Parametric Equations
- Reviewing Basic Concepts (Sections 8.3 - 8.4)
- Summary
- Review Exercises
- Test
- Further Topics in Algebra
- 9.1 Sequences and Series
- 9.2 Arithmetic Sequences and Series
- 9.3 Geometric Sequences and Series
- Reviewing Basic Concepts (Sections 9.1 - 9.3)
- 9.4 Counting Theory
- 9.5 The Binomial Theorem
- Reviewing Basic Concepts (Sections 9.4 - 9.5)
- 9.6 Mathematical Induction
- 9.7 Probability
- Reviewing Basic Concepts (Sections 9.6 - 9.7)
- Summary
- Review Exercises
- Test
- R. Review: Basic Algebraic Concepts
- R.2 Review of Exponents and Polynomials
- R.3 Review of Factoring
- R.4 Review of Rational Expressions
- R.5 Review of Negative and Rational Exponents
- R.6 Review of Radicals
- Test
- Appendix: Formulas from Geometry
- Instructor’s Answers
- Answers to Selected Exercises (Note that in the AIE, Instructor’s Answers replaces Answers to Selected Exercises.)
- Index
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