Algebra and Trigonometry: Enhanced with Graphing Utilities, 9th edition
- Michael Sullivan
- , Michael Sullivan
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The proven approach of Sullivan and Sullivan, highly experienced math instructors, focuses you on the fundamental skills you’ll need to succeed in your course: prepare for class, practice with homework, and review the concepts. Algebra and Trigonometry: Enhanced with Graphing Utilities fully integrates graphing utilities into topics, allowing you to explore mathematical concepts and encounter ideas usually studied in later courses. Many examples show solutions using algebra side by side with graphing techniques. Along with all college algebra material, it develops the trigonometric functions using a right triangle approach and shows how that approach is related to the unit circle approach. After completing this text, you will be more prepared for finite mathematics, business calculus, and engineering calculus.
The 9th Edition is revised and refined throughout, with updated Desmos and screen captures as well as TI-84 Plus CE screens; updates exercise sets with timely and relevant scenarios; adds a new Highlighting Contemporary Mathematicians feature, and much more.
Published by Pearson (April 8th 2025) - Copyright © 2026
ISBN-13: 9780135376157
Subject: Precalculus, College Algebra & Trigonometry
Category: Algebra & Trigonometry
R. Review
- R.1 Real Numbers
- R.2 Algebra Essentials
- R.3 Geometry Essentials
- R.4 Polynomials
- R.5 Factoring Polynomials
- R.6 Synthetic Division
- R.7 Rational Expressions
- R.8 nth Roots; Rational Exponents
1. Graphs, Equations, and Inequalities
- 1.1 Graphing Utilities; Introduction to Graphing Equations
- 1.2 Solving Equations Using a Graphing Utility; Linear and Rational Equations
- 1.3 Quadratic Equations
- 1.4 Complex Numbers; Quadratic Equations in the Complex Number System
- 1.5 Radical Equations; Equations Quadratic in Form; Absolute Value Equations; Factorable Equations
- 1.6 Problem Solving: Interest, Mixture, Uniform Motion, Constant Rate Job Applications
- 1.7 Solving Inequalities
- Chapter Review
- Chapter Test
- Chapter Project
2. Graphs
- 2.1 The Distance and Midpoint Formulas
- 2.2 Intercepts: Symmetry; Graphing Key Equations
- 2.3 Lines
- 2.4 Circles
- 2.5 Variation
- Chapter Review
- Chapter Test
- Chapter Project
3. Functions and Their Graphs
- 3.1 Functions
- 3.2 The Graph of a Function
- 3.3 Properties of Functions
- 3.4 Library of Functions; Piecewise-defined Functions
- 3.5 Graphing Techniques: Transformations
- 3.6 Mathematical Models: Building Functions
- Chapter Review
- Chapter Test
- Cumulative Review
- Chapter Projects
4. Linear and Quadratic Functions
- 4.1 Properties of Linear Functions and Linear Models
- 4.2 Building Linear Models from Data
- 4.3 Quadratic Functions and Their Properties
- 4.4 Build Quadratic Models from Verbal Descriptions and from Data
- 4.5 Inequalities Involving Quadratic Functions
- Chapter Review
- Chapter Test
- Cumulative Review
- Chapter Project
5. Polynomial and Rational Functions
- 5.1 Polynomial Functions
- 5.2 The Graph of a Polynomial Function; Models
- 5.3 The Real Zeros of a Polynomial Function
- 5.4 Complex Zeros: Fundamental Theorem of Algebra
- 5.5 Properties of Rational Functions
- 5.6 The Graph of a Rational Function
- 5.7 Polynomial and Rational Inequalities
- Chapter Review
- Chapter Test
- Cumulative Review
- Chapter Project
6. Exponential and Logarithmic Functions
- 6.1 Composite Functions
- 6.2 One-to-One Functions; Inverse Functions
- 6.3 Exponential Functions
- 6.4 Logarithmic Functions
- 6.5 Properties of Logarithms
- 6.6 Logarithmic and Exponential Equations
- 6.7 Financial Models
- 6.8 Exponential Growth and Decay Models; Newton's Law; Logistic Growth and Decay Models
- 6.9 Building Exponential, Logarithmic, and Logistic Models from Data
- Chapter Review
- Chapter Test
- Cumulative Review
- Chapter Project
7. Trigonometric Functions
- 7.1 Angles and Their Measure
- 7.2 Right Triangle Trigonometry
- 7.3 Computing the Values of Trigonometric Functions of Acute Angles
- 7.4 Trigonometric Functions of Any Angle
- 7.5 Unit Circle Approach; Properties of the Trigonometric Functions
- 7.6 Graphs of the Sine and Cosine Functions
- 7.7 Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions
- 7.8 Phase Shift; Sinusoidal Curve Fitting
- Chapter Review
- Chapter Test
- Cumulative Review
- Chapter Projects
8. Analytic Trigonometry
- 8.1 The Inverse Sine, Cosine, and Tangent Functions
- 8.2 The Inverse Trigonometric Functions (Continued)
- 8.3 Trigonometric Equations
- 8.4 Trigonometric Identities
- 8.5 Sum and Difference Formulas
- 8.6 Double-angle and Half-angle Formulas
- 8.7 Product-to-Sum and Sum-to-Product Formulas
- Chapter Review
- Chapter Test
- Cumulative Review
- Chapter Projects
9. Applications of Trigonometric Functions
- 9.1 Applications Involving Right Triangles
- 9.2 The Law of Sines
- 9.3 The Law of Cosines
- 9.4 Area of a Triangle
- 9.5 Simple Harmonic Motion; Damped Motion; Combining Waves
- Chapter Review
- Chapter Test
- Cumulative Review
- Chapter Projects
10. Polar Coordinates; Vectors
- 10.1 Polar Coordinates
- 10.2 Polar Equations and Graphs
- 10.3 The Complex Plane; De Moivre's Theorem
- 10.4 Vectors
- 10.5 The Dot Product
- Chapter Review
- Chapter Test
- Cumulative Review
- Chapter Projects
11. Analytic Geometry
- 11.1 Conics
- 11.2 The Parabola
- 11.3 The Ellipse
- 11.4 The Hyperbola
- 11.5 Rotation of Axes; General Form of a Conic
- 11.6 Polar Equations of Conics
- 11.7 Plane Curves and Parametric Equations
- Chapter Review
- Chapter Test
- Cumulative Review
- Chapter Projects
12. Systems of Equations and Inequalities
- 12.1 Systems of Linear Equations: Substitution and Elimination
- 12.2 Systems of Linear Equations: Matrices
- 12.3 Systems of Linear Equations: Determinants
- 12.4 Matrix Algebra
- 12.5 Partial Fraction Decomposition
- 12.6 Systems of Nonlinear Equations
- 12.7 Systems of Inequalities
- 12.8 Linear Programming
- Chapter Review
- Chapter Test
- Cumulative Review
- Chapter Project
13. Sequences; Induction; the Binomial Theorem
- 13.1 Sequences
- 13.2 Arithmetic Sequences
- 13.3 Geometric Sequences; Geometric Series
- 13.4 Mathematical Induction
- 13.5 The Binomial Theorem
- Chapter Review
- Chapter Test
- Cumulative Review
- Chapter Project
14. Counting and Probability
- 14.1 Counting
- 14.2 Permutations and Combinations
- 14.3 Probability
- Chapter Review
- Chapter Test
- Cumulative Review
- Chapter Project