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Precalculus: Enhanced with Graphing Utilities

Precalculus: Enhanced with Graphing Utilities


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About the Book

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.  Precalculus: 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. The text offers a review chapter before covering the traditional precalculus topics of functions and their graphs, polynomial and rational functions, and exponential and logarithmic functions. The trigonometric functions are introduced using a unit circle approach and show how it is related to the right triangle approach.

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.



Table of Contents:
1. Graphs
  • 1.1 Graphing Utilities; Introduction to Graphing Equations
  • 1.2 The Distance and Midpoint Formulas
  • 1.3 Intercepts; Symmetry; Graphing Key Equations
  • 1.4 Solving Equations Using a Graphing Utility
  • 1.5 Lines
  • 1.6 Circles
  • Chapter Review
  • Chapter Test
  • Chapter Project
2. Functions and Their Graphs
  • 2.1 Functions
  • 2.2 The Graph of a Function
  • 2.3 Properties of Functions
  • 2.4 Library of Functions; Piecewise-defined Functions
  • 2.5 Graphing Techniques: Transformations
  • 2.6 Mathematical Models: Building Functions
  • Chapter Review
  • Chapter Test
  • Cumulative Review
  • Chapter Projects
3. Linear and Quadratic Functions
  • 3.1 Properties of Linear Functions and Linear Models
  • 3.2 Building Linear Models from Data
  • 3.3 Quadratic Functions and Their Properties
  • 3.4 Build Quadratic Models from Verbal Descriptions and From Data
  • 3.5 Inequalities Involving Quadratic Functions
  • Chapter Review
  • Chapter Test
  • Cumulative Review
  • Chapter Projects
4. Polynomial and Rational Functions
  • 4.1 Polynomial Functions and Models
  • 4.2 The Graph of a Polynomial Function and Models
  • 4.3 The Real Zeros of a Polynomial Function
  • 4.4 Complex Zeros; Fundamental Theorem of Algebra
  • 4.5 Properties of Rational Functions
  • 4.6 The Graph of a Rational Function
  • 4.7 Polynomial and Rational Inequalities
  • Chapter Review
  • Chapter Test
  • Cumulative Review
  • Chapter Projects
5. Exponential and Logarithmic Functions
  • 5.1 Composite Functions
  • 5.2 One-to-One Functions; Inverse Functions
  • 5.3 Exponential Functions
  • 5.4 Logarithmic Functions
  • 5.5 Properties of Logarithms
  • 5.6 Logarithmic and Exponential Equations
  • 5.7 Financial Models
  • 5.8 Exponential Growth and Decay Models; Newton's Law; Logistic Growth and Decay Models
  • 5.9 Building Exponential, Logarithmic, and Logistic Models from Data
  • Chapter Review
  • Chapter Test
  • Cumulative Review
  • Chapter Projects
6. Trigonometric Functions
  • 6.1 Angles, Arc Length, and Circular Motion
  • 6.2 Trigonometric Functions: Unit Circle Approach
  • 6.3 Properties of the Trigonometric Functions
  • 6.4 Graphs of the Sine and Cosine Functions
  • 6.5 Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions
  • 6.6 Phase Shift; Sinusoidal Curve Fitting
  • Chapter Review
  • Chapter Test
  • Cumulative Review
  • Chapter Projects
7. Analytic Trigonometry
  • 7.1 The Inverse Sine, Cosine, and Tangent Functions
  • 7.2 The Inverse Trigonometric Functions (Continued)
  • 7.3 Trigonometric Equations
  • 7.4 Trigonometric Identities
  • 7.5 Sum and Difference Formulas
  • 7.6 Double-angle and Half-angle Formulas
  • 7.7 Product-to-Sum and Sum-to-Product Formulas
  • Chapter Review
  • Chapter Test
  • Cumulative Review
  • Chapter Projects
8. Applications of Trigonometric Functions
  • 8.1 Right Triangle Trigonometry; Applications
  • 8.2 The Law of Sines
  • 8.3 The Law of Cosines
  • 8.4 Area of a Triangle
  • 8.5 Simple Harmonic Motion; Damped Motion; Combining Waves
  • Chapter Review
  • Chapter Test
  • Cumulative Review
  • Chapter Projects
9. Polar Coordinates; Vectors
  • 9.1 Polar Coordinates
  • 9.2 Polar Equations and Graphs
  • 9.3 The Complex Plane; DeMoivre's Theorem
  • 9.4 Vectors
  • 9.5 The Dot Product
  • 9.6 Vectors in Space
  • 9.7 The Cross Product
  • Chapter Review
  • Chapter Test
  • Cumulative Review
  • Chapter Projects
10. Analytic Geometry
  • 10.1 Conics
  • 10.2 The Parabola
  • 10.3 The Ellipse
  • 10.4 The Hyperbola
  • 10.5 Rotation of Axes; General Form of a Conic
  • 10.6 Polar Equations of Conics
  • 10.7 Plane Curves and Parametric Equations
  • Chapter Review
  • Chapter Test
  • Cumulative Review
  • Chapter Projects
11. Systems of Equations and Inequalities
  • 11.1 Systems of Linear Equations: Substitution and Elimination
  • 11.2 Systems of Linear Equations: Matrices
  • 11.3 Systems of Linear Equations: Determinants
  • 11.4 Matrix Algebra
  • 11.5 Partial Fraction Decomposition
  • 11.6 Systems of Nonlinear Equations
  • 11.7 Systems of Inequalities
  • 11.8 Linear Programming
  • Chapter Review
  • Chapter Test
  • Cumulative Review
  • Chapter Projects
12. Sequences; Induction; The Binomial Theorem
  • 12.1 Sequences
  • 12.2 Arithmetic Sequences
  • 12.3 Geometric Sequences; Geometric Series
  • 12.4 Mathematical Induction
  • 12.5 The Binomial Theorem
  • Chapter Review
  • Chapter Test
  • Cumulative Review
  • Chapter Projects
13. Counting and Probability
  • 13.1 Counting
  • 13.2 Permutations and Combinations
  • 13.3 Probability
  • Chapter Review
  • Chapter Test
  • Cumulative Review
  • Chapter Projects
14. A Preview of Calculus: The Limit, Derivative, and Integral of a Fraction
  • 14.1 Investigating Limits Using Tables and Graphs
  • 14.2 Algebraic Techniques for Finding Limits
  • 14.3 One-sided Limits; Continuity
  • 14.4 The Tangent Problem; The Derivative
  • 14.5 The Area Problem; The Integral
  • Chapter Review
  • Chapter Test
  • Cumulative Review
  • Chapter Projects
Appendix A: Review
  • A.1 Algebra Essentials
  • A.2 Geometry Essentials
  • A.3 Polynomials
  • A.4 Synthetic Division
  • A.5 Rational Expressions
  • A.6 Solving Equations
  • A.7 Complex Numbers; Quadratic Equations in the Complex Number System
  • A.8 Problem Solving: Interest, Mixture, Uniform Motion, Constant Rate Job Applications
  • A.9 Interval Notation; Solving Inequalities
  • A.10 nth Roots; Rational Exponents
Answers Credits Subject Index


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Product Details
  • ISBN-13: 9780135372593
  • Publisher: Pearson Education (US)
  • Publisher Imprint: Pearson
  • Language: English
  • ISBN-10: 0135372593
  • Publisher Date: 01 Jan 2025
  • Binding: Digital download
  • Sub Title: Enhanced with Graphing Utilities


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