Algebra and Trigonometry Enhanced with Graphing Utilities, 8th edition
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Overview
Algebra and Trigonometry Enhanced with Graphing Utilities takes a practical approach to integrating graphing tools and techniques into an exploration of advanced math concepts.
Published by Pearson (September 1st 2020)  Copyright © 2021
ISBN13: 9780136872795
Subject: Precalculus, College Algebra & Trigonometry
Category: Algebra & Trigonometry
Table of contents
Table of Contents
 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 n th Roots; Rational Exponents
 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
 Graphs
 2.1 The Distance and Midpoint Formulas
 2.2 Intercepts: Symmetry; Graphing Key Equations
 2.3 Lines
 2.4 Circles
 2.5 Variation
 Functions and Their Graphs
 3.1 Functions
 3.2 The Graph of a Function
 3.3 Properties of Functions
 3.4 Library of Functions; Piecewisedefined Functions
 3.5 Graphing Techniques: Transformations
 3.6 Mathematical Models: Building Functions
 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
 Polynomial and Rational Functions
 5.1 Polynomial Functions
 5.2 The Graph of a Polynomial Function; Models
 5.3 The Real Zeroes of a Polynomial Function
 5.4 Complex Zeroes: Fundamental Theorem of Algebra
 5.5 Properties of Rational Functions
 5.6 The Graph of a Rational Function
 5.7 Polynomial and Rational Inequalities
 Exponential and Logarithmic Functions
 6.1 Composite Functions
 6.2 OnetoOne 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
 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
 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 Doubleangle and Halfangle Formulas
 8.7 ProducttoSum and SumtoProduct Formulas
 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
 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
 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
 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
 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
 Counting and Probability
 14.1 Counting
 14.2 Permutations and Combinations
 14.3 Probability
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