Algebra and Trigonometry: Graphs and Models, 6th edition
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Overview
Algebra and Trigonometry helps you succeed via a focus on functions, visual emphasis, sidebyside algebraic and graphical solutions, and realdata applications.
Published by Pearson (March 15th 2021)  Copyright © 2021
ISBN13: 9780136880172
Subject: Precalculus, College Algebra & Trigonometry
Category: Algebra & Trigonometry
Table of contents
Table of Contents
 Preface
 To the Student
 JustInTime Review
 Graphs, Functions, and Models
 1.1 Introduction to Graphing
 Visualizing the Graph
 1.2 Functions and Graphs
 1.3 Linear Functions, Slope, and Applications
 Visualizing the Graph
 MidChapter Mixed Review
 1.4 Equations of Lines and Modeling
 1.5 Linear Equations, Functions, Zeros, and Applications
 1.6 Solving Linear Inequalities
 Study Guide
 Review Exercises
 Test
 1.1 Introduction to Graphing
 More on Functions
 2.1 Increasing, Decreasing, and Piecewise Functions; Applications
 2.2 The Algebra of Functions
 2.3 The Composition of Functions
 MidChapter Mixed Review
 2.4 Symmetry
 2.5 Transformations
 Visualizing the Graph
 2.6 Variation and Application
 Study Guide
 Review Exercises
 Test
 Quadratic Functions and Equations; Inequalities
 3.1 The Complex Numbers
 3.2 Quadratic Equations, Functions, Zeros, and Models
 3.3 Analyzing Graphs of Quadratic Functions
 Visualizing the Graph
 MidChapter Review
 3.4 Solving Rational Equations and Radical Equations
 3.5 Solving Equations and Inequalities with Absolute Value
 Study Guide
 Review Exercises
 Test
 Polynomial Functions and Rational Functions
 4.1 Polynomial Functions and Modeling
 4.2 Graphing Polynomial Functions
 Visualizing the Graph
 4.3 Polynomial Division; The Remainder Theorem and the Factor Theorem
 MidChapter Mixed Review
 4.4 Theorems about Zeros of Polynomial Functions
 4.5 Rational Functions
 Visualizing the Graph
 4.6 Polynomial Inequalities and Rational Inequalities
 Study Guide
 Review Exercises
 Test
 Exponential Functions and Logarithmic Functions
 5.1 Inverse Functions
 5.2 Exponential Functions and Graphs
 5.3 Logarithmic Functions and Graphs
 Visualizing the Graph
 MidChapter Mixed Review
 5.4 Properties of Logarithmic Functions
 5.5 Solving Exponential Equations and Logarithmic Equations
 5.6 Applications and Models: Growth and Decay; Compound Interest
 Study Guide
 Review Exercises
 Test
 The Trigonometric Functions
 6.1 Trigonometric Functions of Acute Angles
 6.2 Applications of Right Triangles
 6.3 Trigonometric Functions of Any Angle
 MidChapter Mixed Review
 6.4 Radians, Arc Length, and Angular Speed
 6.5 Circular Functions: Graphs and Properties
 6.6 Graphs of Transformed Sine Functions and Cosine Functions
 Visualizing the Graph
 Study Guide
 Review Exercises
 Test
 Trigonometric Identities, Inverse Functions, and Equations
 7.1 Identities: Pythagorean and Sum and Difference
 7.2 Identities: Cofunction, DoubleAngle, and HalfAngle
 7.3 Proving Trigonometric Identities
 MidChapter Mixed Review
 7.4 Inverses of the Trigonometric Functions
 7.5 Solving Trigonometric Equations
 Visualizing the Graph
 Study Guide
 Review Exercises
 Test
 Applications of Trigonometry
 8.1 The Law of Sines
 8.2 The Law of Cosines
 8.3 Complex Numbers: Trigonometric Notation
 MidChapter Mixed Review
 8.4 Polar Coordinates and Graphs
 Visualizing the Graph
 8.5 Vectors and Applications
 8.6 Vector Operations
 Study Guide
 Review Exercises
 Test
 Systems of Equations and Matrices
 9.1 Systems of Equations in Two Variables
 Visualizing the Graph
 9.2 Systems of Equations in Three Variables
 9.3 Matrices and Systems of Equations
 9.4 Matrix Operations
 MidChapter Mixed Review
 9.5 Inverses of Matrices
 9.6 Determinants and Cramer’s Rule
 9.7 Systems of Inequalities and Linear Programming
 9.8 Partial Fractions
 Study Guide
 Review Exercises
 Test
 9.1 Systems of Equations in Two Variables
 Analytic Geometry Topics
 10.1 The Parabola
 10.2 The Circle and the Ellipse
 10.3 The Hyperbola
 10.4 Nonlinear Systems of Equations and Inequalities
 Visualizing the Graph
 MidChapter Mixed Review
 10.5 Rotation of Axes
 10.6 Polar Equations of Conics
 10.7 Parametric Equations
 Study Guide
 Review Exercises
 Test
 Sequences, Series, and Combinatorics
 11.1 Sequences and Series
 11.2 Arithmetic Sequences and Series
 11.3 Geometric Sequences and Series
 Visualizing the Graph
 11.4 Mathematical Induction
 MidChapter Mixed Review
 11.5 Combinatorics: Permutations
 11.6 Combinatorics: Combinations
 11.7 The Binomial Theorem
 11.8 Probability
 Study Guide
 Review Exercises
 Test
Photo Credits
Answers // Additional Instructor’s Answers
Index
Index of Applications
Your questions answered
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