Precalculus Enhanced with Graphing Utilities, 8th edition
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Overview
Precalculus Enhanced with Graphing Utilities integrates graphing utilities into topics. Many examples show solutions using algebra side by side with graphing techniques.
Published by Pearson (September 1st 2020)  Copyright © 2021
ISBN13: 9780136872825
Subject: Precalculus, College Algebra & Trigonometry
Category: Precalculus
Table of contents
Table of Contents
 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
 Functions and Their Graphs
 2.1 Functions
 2.2 The Graph of a Function
 2.3 Properties of Functions
 2.4 Library of Functions; Piecewisedefined Functions
 2.5 Graphing Techniques: Transformations
 2.6 Mathematical Models: Building Functions
 Chapter Review
 Chapter Test
 Cumulative Review
 Chapter Projects
 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
 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
 Exponential and Logarithmic Functions
 5.1 Composite Functions
 5.2 OnetoOne 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
 Trigonometric Functions
 6.1 Angles and Their Measure
 6.2 Trigonometric Functions: A 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
 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 Doubleangle and Halfangle Formulas
 7.7 ProducttoSum and SumtoProduct Formulas
 Chapter Review
 Chapter Test
 Cumulative Review
 Chapter Projects
 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
 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
 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
 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
 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
 Counting and Probability
 13.1 Counting
 13.2 Permutations and Combinations
 13.3 Probability
 Chapter Review
 Chapter Test
 Cumulative Review
 Chapter Projects
 A Preview of Calculus: The Limit, Derivative, and Integral of a Fraction
 14.1 Finding Limits Using Tables and Graphs
 14.2 Algebra Techniques for Finding Limits
 14.3 Onesided Limits; Continuous Functions
 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 Expressoins
 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
Appendix B: The Limit of a Sequence; Infinite Series
Answers
Credits
Subject Index
Your questions answered
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