Precalculus: Graphs and Models, 6th edition
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Overview
Precalculus: Graphs and Models helps you succeed thanks to a focus on functions, visual emphasis, sidebyside algebraic and graphical solutions, and realdata applications.
Published by Pearson (September 1st 2020)  Copyright © 2021
ISBN13: 9780136880394
Subject: Precalculus, College Algebra & Trigonometry
Category: Precalculus
Table of contents
Preface
To the Student
JustInTime Review
1. 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
2. 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
3. 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
4. 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
5. 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
6. 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
7. 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
8. 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
9. 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
6.8 Partial Fractions
Study Guide
Review Exercises
Test
10. 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
11. 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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