Precalculus (11th Edition) – Michael Sullivan

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book-author

Michael Sullivan

publisher

Pearson; 11th edition

file-type

PDF

pages

Pages

language

English

isbn10

0135189403; 0135228980; 0135189624; 0135243572

isbn13

9780135189405/ 9780135228982/ 9780135189627/ 9780135243572


Book Description

Prepare. Review. Practice.

Sullivan’s time-examined strategy stresses the important expertise they want for the course: making ready for sophistication; practicing with classes; and reviewing the ideas. Precalculus; eleventh Edition; (PDF) continues to progress to fulfill the wants of at the moment’s school college students.

This collection trains and helps pre-calculus college students with access to assist; when and the place they require it. The trademark Sullivan cycle of unceasing preparation and retention ― along with the excessive-high quality workout routines that Sullivan textbooks are recognized for ― provides learners the reinforcement they want.

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Additional information

book-author

Michael Sullivan

publisher

Pearson; 11th edition

file-type

PDF

pages

Pages

language

English

isbn10

0135189403; 0135228980; 0135189624; 0135243572

isbn13

9780135189405/ 9780135228982/ 9780135189627/ 9780135243572

Table of contents


Table of contents :
Cover
Inside Front Cover
To the Student
Prepare for Class “Read the Book”
Practice “Work the Problems”
Review “Study for Quizzes and Tests”
Dedication
Title Page
Copyright Page
Contents
Three Distinct Series
The Flagship Series
Preface to the Instructor
Get the Most Out of MyLab Math
Resources for Success
Applications Index
1 Graphs
1.1 The Distance and Midpoint Formulas
1 Use the Distance Formula
2 Use the Midpoint Formula
1.2 Graphs of Equations in Two Variables; Intercepts; Symmetry
1 Graph Equations by Plotting Points
2 Find Intercepts from a Graph
3 Find Intercepts from an Equation
4 Test an Equation for Symmetry with Respect to the x-Axis, the y-Axis, and the Origin
Know How to Graph Key Equations
1.3 Lines
1 Calculate and Interpret the Slope of a Line
2 Graph Lines Given a Point and the Slope
3 Find the Equation of a Vertical Line
4 Use the Point-Slope Form of a Line; Identify Horizontal Lines
5 Use the Slope-Intercept Form of a Line
6 Find the Equation of a Line Given Two Points
7 Graph Lines Written in General Form Using Intercepts
8 Find Equations of Parallel Lines
9 Find Equations of Perpendicular Lines
1.4 Circles
1 Write the Standard Form of the Equation of a Circle
2 Graph a Circle
3 Work with the General Form of the Equation of a Circle
Chapter Review
Chapter Test
Chapter Project
2 Functions and Their Graphs
2.1 Functions
1 Describe a Relation
2 Determine Whether a Relation Represents a Function
3 Use Function Notation; Find the Value of a Function
4 Find the Difference Quotient of a Function
5 Find the Domain of a Function Defined by an Equation
6 Form the Sum, Difference, Product, and Quotient of Two Functions
2.2 The Graph of a Function
1 Identify the Graph of a Function
2 Obtain Information from or about the Graph of a Function
2.3 Properties of Functions
1 Identify Even and Odd Functions from a Graph
2 Identify Even and Odd Functions from an Equation
3 Use a Graph to Determine Where a Function is Increasing, Decreasing, or Constant
4 Use a Graph to Locate Local Maxima and Local Minima
5 Use a Graph to Locate the Absolute Maximum and the Absolute Minimum
6 Use a Graphing Utility to Approximate Local Maxima and Local Minima and to Determine Where a Function Is Increasing or Decreasing
7 Find the Average Rate of Change of a Function
2.4 Library of Functions; Piecewise-defined Functions
1 Graph the Functions Listed in the Library of Functions
2 Analyze a Piecewise-defined Function
2.5 Graphing Techniques: Transformations
1 Graph Functions Using Vertical and Horizontal Shifts
2 Graph Functions Using Compressions and Stretches
3 Graph Functions Using Reflections about the x-Axis and the y-Axis
2.6 Mathematical Models: Building Functions
1 Build and Analyze Functions
Chapter Review
Chapter Test
Cumulative Review
Chapter Projects
3 Linear and Quadratic Functions
3.1 Properties of Linear Functions and Linear Models
1 Graph Linear Functions
2 Use Average Rate of Change to Identify Linear Functions
3 Determine Whether a Linear Function Is Increasing, Decreasing, or Constant
4 Build Linear Models from Verbal Descriptions
3.2 Building Linear Models from Data
1 Draw and Interpret Scatter Plots
2 Distinguish between Linear and Nonlinear Relations
3 Use a Graphing Utility to Find the Line of Best Fit
3.3 Quadratic Functions and Their Properties
1 Graph a Quadratic Function Using Transformations
2 Identify the Vertex and Axis of Symmetry of a Parabola
3 Graph a Quadratic Function Using Its Vertex, Axis, and Intercepts
4 Find a Quadratic Function Given Its Vertex and One Other Point
5 Find the Maximum or Minimum Value of a Quadratic Function
3.4 Building Quadratic Models from Verbal Descriptions and from Data
1 Build Quadratic Models from Verbal Descriptions
2 Build Quadratic Models from Data
3.5 Inequalities Involving Quadratic Functions
1 Solve Inequalities Involving a Quadratic Function
Chapter Review
Chapter Test
Cumulative Review
Chapter Projects
4 Polynomial and Rational Functions
4.1 Polynomial Functions
1 Identify Polynomial Functions and Their Degree
2 Graph Polynomial Functions Using Transformations
3 Identify the Real Zeros of a Polynomial Function and Their Multiplicity
4.2 Graphing Polynomial Functions; Models
1 Graph a Polynomial Function
2 Graph a Polynomial Function Using a Graphing Utility
3 Build Cubic Models from Data
4.3 Properties of Rational Functions
1 Find the Domain of a Rational Function
2 Find the Vertical Asymptotes of a Rational Function
3 Find a Horizontal or an Oblique Asymptote of a Rational Function
4.4 The Graph of a Rational Function
1 Graph a Rational Function
2 Solve Applied Problems Involving Rational Functions
4.5 Polynomial and Rational Inequalities
1 Solve Polynomial Inequalities
2 Solve Rational Inequalities
4.6 The Real Zeros of a Polynomial Function
1 Use the Remainder and Factor Theorems
2 Use Descartes’ Rule of Signs to Determine the Number of Positive and the Number of Negative Real Zeros of a Polynomial Function
3 Use the Rational Zeros Theorem to List the Potential Rational Zeros of a Polynomial Function
4 Find the Real Zeros of a Polynomial Function
5 Solve Polynomial Equations
6 Use the Theorem for Bounds on Zeros
7 Use the Intermediate Value Theorem
4.7 Complex Zeros; Fundamental Theorem of Algebra
1 Use the Conjugate Pairs Theorem
2 Find a Polynomial Function with Specified Zeros
3 Find the Complex Zeros of a Polynomial Function
Chapter Review
Chapter Test
Cumulative Review
Chapter Projects
5 Exponential and Logarithmic Functions
5.1 Composite Functions
1 Form a Composite Function
2 Find the Domain of a Composite Function
5.2 One-to-One Functions; Inverse Functions
1 Determine Whether a Function Is One-to-One
2 Obtain the Graph of the Inverse Function from the Graph of a One-to-One Function
3 Verify an Inverse Function
4 Find the Inverse of a Function Defined by an Equation
5.3 Exponential Functions
1 Evaluate Exponential Functions
2 Graph Exponential Functions
3 Define the Number e
4 Solve Exponential Equations
5.4 Logarithmic Functions
1 Change Exponential Statements to Logarithmic Statements and Logarithmic Statements to Exponential Statements
2 Evaluate Logarithmic Expressions
3 Determine the Domain of a Logarithmic Function
4 Graph Logarithmic Functions
5 Solve Logarithmic Equations
5.5 Properties of Logarithms
1 Work with the Properties of Logarithms
2 Write a Logarithmic Expression as a Sum or Difference of Logarithms
3 Write a Logarithmic Expression as a Single Logarithm
4 Evaluate Logarithms Whose Base Is Neither 10 Nor e
5.6 Logarithmic and Exponential Equations
1 Solve Logarithmic Equations
2 Solve Exponential Equations
3 Solve Logarithmic and Exponential Equations Using a Graphing Utility
5.7 Financial Models
1 Determine the Future Value of a Lump Sum of Money
2 Calculate Effective Rates of Return
3 Determine the Present Value of a Lump Sum of Money
4 Determine the Rate of Interest or the Time Required to Double a Lump Sum of Money
5.8 Exponential Growth and Decay Models; Newton’s Law; Logistic Growth and Decay Models
1 Model Populations That Obey the Law of Uninhibited Growth
2 Model Populations That Obey the Law of Uninhibited Decay
3 Use Newton’s Law of Cooling
4 Use Logistic Models
5.9 Building Exponential, Logarithmic, and Logistic Models from Data
1 Build an Exponential Model from Data
2 Build a Logarithmic Model from Data
3 Build a Logistic Model from Data
Chapter Review
Chapter Test
Cumulative Review
Chapter Projects
6 Trigonometric Functions
6.1 Angles, Arc Length, and Circular Motion
1 Angles and Degree Measure
2 Convert between Decimal and Degree, Minute, Second Measures for Angles
3 Find the Length of an Arc of a Circle
4 Convert from Degrees to Radians and from Radians to Degrees
5 Find the Area of a Sector of a Circle
6 Find the Linear Speed of an Object Traveling in Circular Motion
6.2 Trigonometric Functions: Unit Circle Approach
1 Find the Exact Values of the Trigonometric Functions Using a Point on the Unit Circle
2 Find the Exact Values of the Trigonometric Functions of Quadrantal Angles
3 Find the Exact Values of the Trigonometric Functions of π/4 = 45°
4 Find the Exact Values of the Trigonometric Functions of π/6=30°and π/3 = 60°
5 Find the Exact Values of the Trigonometric Functions for Integer Multiples of π/6 = 30°, π/4 = 45°, and π/3 = 60°
6 Use a Calculator to Approximate the Value of a Trigonometric Function
7 Use a Circle of Radius r to Evaluate the Trigonometric Functions
6.3 Properties of the Trigonometric Functions
1 Determine the Domain and the Range of the Trigonometric Functions
2 Determine the Period of the Trigonometric Functions
3 Determine the Signs of the Trigonometric Functions in a Given Quadrant
4 Find the Values of the Trigonometric Functions Using Fundamental Identities
5 Find the Exact Values of the Trigonometric Functions of an Angle Given One of the Functions and the Quadrant of the Angle
6 Use Even-Odd Properties to Find the Exact Values of the Trigonometric Functions
6.4 Graphs of the Sine and Cosine Functions
1 Graph the Sine Function y = sin x and Functions of the Form y = A sin(ωx)
2 Graph the Cosine Function y = cos x and Functions of the Form y = A cos (ωx)
3 Determine the Amplitude and Period of Sinusoidal Functions
4 Graph Sinusoidal Functions Using Key Points
5 Find an Equation for a Sinusoidal Graph
6.5 Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions
1 Graph the Tangent Function y = tan x and the Cotangent Function y = cot x
2 Graph Functions of the Form y = A tan (ωx) + B and y = A cot(ωx) + B
3 Graph the Cosecant Function y = csc x and the Secant Function y = sec x
4 Graph Functions of the Form y = A csc(ωx) + B and y = A sec(ωx) + B
6.6 Phase Shift; Sinusoidal Curve Fitting
1 Graph Sinusoidal Functions of the Form y = A sin(ωx – φ) + B
2 Build Sinusoidal Models from Data
Chapter Review
Chapter Test
Cumulative Review
Chapter Projects
7 Analytic Trigonometry
7.1 The Inverse Sine, Cosine, and Tangent Functions
1 Define the Inverse Sine Function
2 Find the Value of an Inverse Sine Function
3 Define the Inverse Cosine Function
4 Find the Value of an Inverse Cosine Function
5 Define the Inverse Tangent Function
6 Find the Value of an Inverse Tangent Function
7 Use Properties of Inverse Functions to Find Exact Values of Certain Composite Functions
8 Find the Inverse Function of a Trigonometric Function
9 Solve Equations Involving Inverse Trigonometric Functions
7.2 The Inverse Trigonometric Functions (Continued)
1 Define the Inverse Secant, Cosecant, and Cotangent Functions
2 Find the Value of Inverse Secant, Cosecant, and Cotangent Functions
3 Find the Exact Value of Composite Functions Involving the Inverse Trigonometric Functions
4 Write a Trigonometric Expression as an Algebraic Expression
7.3 Trigonometric Equations
1 Solve Equations Involving a Single Trigonometric Function
2 Solve Trigonometric Equations Using a Calculator
3 Solve Trigonometric Equations Quadratic in Form
4 Solve Trigonometric Equations Using Fundamental Identities
5 Solve Trigonometric Equations Using a Graphing Utility
7.4 Trigonometric Identities
1 Use Algebra to Simplify Trigonometric Expressions
2 Establish Identities
7.5 Sum and Difference Formulas
1 Use Sum and Difference Formulas to Find Exact Values
2 Use Sum and Difference Formulas to Establish Identities
3 Use Sum and Difference Formulas Involving Inverse Trigonometric Functions
4 Solve Trigonometric Equations Linear in Sine and Cosine
7.6 Double-angle and Half-angle Formulas
1 Use Double-angle Formulas to Find Exact Values
2 Use Double-angle Formulas to Establish Identities
3 Use Half-angle Formulas to Find Exact Values
7.7 Product-to-Sum and Sum-to-Product Formulas
1 Express Products as Sums
2 Express Sums as Products
Chapter Review
Chapter Test
Cumulative Review
Chapter Projects
8 Applications of Trigonometric Functions
8.1 Right Triangle Trigonometry; Applications
1 Find the Value of Trigonometric Functions of Acute Angles Using Right Triangles
2 Use the Complementary Angle Theorem
3 Solve Right Triangles
4 Solve Applied Problems
8.2 The Law of Sines
1 Solve SAA or ASA Triangles
2 Solve SSA Triangles
3 Solve Applied Problems
8.3 The Law of Cosines
1 Solve SAS Triangles
2 Solve SSS Triangles
3 Solve Applied Problems
8.4 Area of a Triangle
1 Find the Area of SAS Triangles
2 Find the Area of SSS Triangles
8.5 Simple Harmonic Motion; Damped Motion; Combining Waves
1 Build a Model for an Object in Simple Harmonic Motion
2 Analyze Simple Harmonic Motion
3 Analyze an Object in Damped Motion
4 Graph the Sum of Two Functions
Chapter Review
Chapter Test
Cumulative Review
Chapter Projects
9 Polar Coordinates; Vectors
9.1 Polar Coordinates
1 Plot Points Using Polar Coordinates
2 Convert from Polar Coordinates to Rectangular Coordinates
3 Convert from Rectangular Coordinates to Polar Coordinates
4 Transform Equations between Polar and Rectangular Forms
9.2 Polar Equations and Graphs
1 Identify and Graph Polar Equations by Converting to Rectangular Equations
2 Test Polar Equations for Symmetry
3 Graph Polar Equations by Plotting Points
9.3 The Complex Plane; De Moivre’s Theorem
1 Plot Points in the Complex Plane
2 Convert a Complex Number between Rectangular Form and Polar Form or Exponential Form
3 Find Products and Quotients of Complex Numbers
4 Use De Moivre’s Theorem
5 Find Complex Roots
9.4 Vectors
1 Graph Vectors
2 Find a Position Vector
3 Add and Subtract Vectors Algebraically
4 Find a Scalar Multiple and the Magnitude of a Vector
5 Find a Unit Vector
6 Find a Vector from Its Direction and Magnitude
7 Model with Vectors
9.5 The Dot Product
1 Find the Dot Product of Two Vectors
2 Find the Angle between Two Vectors
3 Determine Whether Two Vectors Are Parallel
4 Determine Whether Two Vectors Are Orthogonal
5 Decompose a Vector into Two Orthogonal Vectors
6 Compute Work
9.6 Vectors in Space
1 Find the Distance between Two Points in Space
2 Find Position Vectors in Space
3 Perform Operations on Vectors
4 Find the Dot Product
5 Find the Angle between Two Vectors
6 Find the Direction Angles of a Vector
9.7 The Cross Product
1 Find the Cross Product of Two Vectors
2 Know Algebraic Properties of the Cross Product
3 Know Geometric Properties of the Cross Product
4 Find a Vector Orthogonal to Two Given Vectors
5 Find the Area of a Parallelogram
Chapter Review
Chapter Test
Cumulative Review
Chapter Projects
10 Analytic Geometry
10.1 Conics
1 Know the Names of the Conics
10.2 The Parabola
1 Analyze Parabolas with Vertex at the Origin
2 Analyze Parabolas with Vertex at (h, k)
3 Solve Applied Problems Involving Parabolas
10.3 The Ellipse
1 Analyze Ellipses with Center at the Origin
2 Analyze Ellipses with Center at (h, k)
3 Solve Applied Problems Involving Ellipses
10.4 The Hyperbola
1 Analyze Hyperbolas with Center at the Origin
2 Find the Asymptotes of a Hyperbola
3 Analyze Hyperbolas with Center at (h, k)
4 Solve Applied Problems Involving Hyperbolas
10.5 Rotation of Axes; General Form of a Conic
1 Identify a Conic
2 Use a Rotation of Axes to Transform Equations
3 Analyze an Equation Using a Rotation of Axes
4 Identify Conics without Rotating the Axes
10.6 Polar Equations of Conics
1 Analyze and Graph Polar Equations of Conics
2 Convert the Polar Equation of a Conic to a Rectangular Equation
10.7 Plane Curves and Parametric Equations
1 Graph Parametric Equations
2 Find a Rectangular Equation for a Plane Curve Defined Parametrically
3 Use Time as a Parameter in Parametric Equations
4 Find Parametric Equations for Plane Curves Defined by Rectangular Equations
Chapter Review
Chapter Test
Cumulative Review
Chapter Projects
11 Systems of Equations and Inequalities
11.1 Systems of Linear Equations: Substitution and Elimination
1 Solve Systems of Equations by Substitution
2 Solve Systems of Equations by Elimination
3 Identify Inconsistent Systems of Equations Containing Two Variables
4 Express the Solution of a System of Dependent Equations Containing Two Variables
5 Solve Systems of Three Equations Containing Three Variables
6 Identify Inconsistent Systems of Equations Containing Three Variables
7 Express the Solution of a System of Dependent Equations Containing Three Variables
11.2 Systems of Linear Equations: Matrices
1 Write the Augmented Matrix of a System of Linear Equations
2 Write the System of Equations from the Augmented Matrix
3 Perform Row Operations on a Matrix
4 Solve a System of Linear Equations Using Matrices
11.3 Systems of Linear Equations: Determinants
1 Evaluate 2 by 2 Determinants
2 Use Cramer’s Rule to Solve a System of Two Equations Containing Two Variables
3 Evaluate 3 by 3 Determinants
4 Use Cramer’s Rule to Solve a System of Three Equations Containing Three Variables
5 Know Properties of Determinants
11.4 Matrix Algebra
1 Find the Sum and Difference of Two Matrices
2 Find Scalar Multiples of a Matrix
3 Find the Product of Two Matrices
4 Find the Inverse of a Matrix
5 Solve a System of Linear Equations Using an Inverse Matrix
11.5 Partial Fraction Decomposition
1 Decompose P/Q Where Q Has Only Nonrepeated Linear Factors
2 Decompose P/Q Where Q Has Repeated Linear Factors
3 Decompose P/Q Where Q Has a Nonrepeated Irreducible Quadratic Factor
4 Decompose P/Q Where Q Has a Repeated Irreducible Quadratic Factor
11.6 Systems of Nonlinear Equations
1 Solve a System of Nonlinear Equations Using Substitution
2 Solve a System of Nonlinear Equations Using Elimination
11.7 Systems of Inequalities
1 Graph an Inequality
2 Graph a System of Inequalities
11.8 Linear Programming
1 Set Up a Linear Programming Problem
2 Solve a Linear Programming Problem
Chapter Review
Chapter Test
Cumulative Review
Chapter Projects
12 Sequences; Induction; the Binomial Theorem
12.1 Sequences
1 List the First Several Terms of a Sequence
2 List the Terms of a Sequence Defined by a Recursive Formula
3 Use Summation Notation
4 Find the Sum of a Sequence
12.2 Arithmetic Sequences
1 Determine Whether a Sequence Is Arithmetic
2 Find a Formula for an Arithmetic Sequence
3 Find the Sum of an Arithmetic Sequence
12.3 Geometric Sequences; Geometric Series
1 Determine Whether a Sequence Is Geometric
2 Find a Formula for a Geometric Sequence
3 Find the Sum of a Geometric Sequence
4 Determine Whether a Geometric Series Converges or Diverges
5 Solve Annuity Problems
12.4 Mathematical Induction
1 Prove Statements Using Mathematical Induction
12.5 The Binomial Theorem
1 Evaluate (n j)
2 Use the Binomial Theorem
Chapter Review
Chapter Test
Cumulative Review
Chapter Projects
13 Counting and Probability
13.1 Counting
1 Find All the Subsets of a Set
2 Count the Number of Elements in a Set
3 Solve Counting Problems Using the Multiplication Principle
13.2 Permutations and Combinations
1 Solve Counting Problems Using Permutations Involving n Distinct Objects
2 Solve Counting Problems Using Combinations
3 Solve Counting Problems Using Permutations Involving n Nondistinct Objects
13.3 Probability
1 Construct Probability Models
2 Compute Probabilities of Equally Likely Outcomes
3 Find Probabilities of the Union of Two Events
4 Use the Complement Rule to Find Probabilities
Chapter Review
Chapter Test
Cumulative Review
Chapter Projects
14 A Preview of Calculus: The Limit, Derivative, and Integral of a Function
14.1 Investigating Limits Using Tables and Graphs
1 Investigate a Limit Using a Table
2 Investigate a Limit Using a Graph
14.2 Algebraic Techniques for Finding Limits
1 Find the Limit of a Sum, a Difference, and a Product
2 Find the Limit of a Polynomial
3 Find the Limit of a Power or a Root
4 Find the Limit of a Quotient
5 Find the Limit of an Average Rate of Change
14.3 One-sided Limits; Continuity
1 Find the One-sided Limits of a Function
2 Determine Whether a Function Is Continuous at a Number
14.4 The Tangent Problem; The Derivative
1 Find an Equation of the Tangent Line to the Graph of a Function
2 Find the Derivative of a Function
3 Find Instantaneous Rates of Change
4 Find the Instantaneous Velocity of an Object
14.5 The Area Problem; The Integral
1 Approximate the Area under the Graph of a Function
2 Approximate Integrals Using a Graphing Utility
Chapter Review
Chapter Test
Chapter Projects
Appendix A Review
A.1 Algebra Essentials
1 Work with Sets
2 Graph Inequalities
3 Find Distance on the Real Number Line
4 Evaluate Algebraic Expressions
5 Determine the Domain of a Variable
6 Use the Laws of Exponents
7 Evaluate Square Roots
8 Use a Calculator to Evaluate Exponents
A.2 Geometry Essentials
1 Use the Pythagorean Theorem and Its Converse
2 Know Geometry Formulas
3 Understand Congruent Triangles and Similar Triangles
A.3 Polynomials
1 Recognize Monomials
2 Recognize Polynomials
3 Know Formulas for Special Products
4 Divide Polynomials Using Long Division
5 Factor Polynomials
6 Complete the Square
A.4 Synthetic Division
1 Divide Polynomials Using Synthetic Division
A.5 Rational Expressions
1 Reduce a Rational Expression to Lowest Terms
2 Multiply and Divide Rational Expressions
3 Add and Subtract Rational Expressions
4 Use the Least Common Multiple Method
5 Simplify Complex Rational Expressions
A.6 Solving Equations
1 Solve Equations by Factoring
2 Solve Equations Involving Absolute Value
3 Solve a Quadratic Equation by Factoring
4 Solve a Quadratic Equation by Completing the Square
5 Solve a Quadratic Equation Using the Quadratic Formula
A.7 Complex Numbers; Quadratic Equations in the Complex Number System*
1 Add, Subtract, Multiply, and Divide Complex Numbers
2 Solve Quadratic Equations in the Complex Number System
A.8 Problem Solving: Interest, Mixture, Uniform Motion, Constant Rate Job Applications
1 Translate Verbal Descriptions into Mathematical Expressions
2 Solve Interest Problems
3 Solve Mixture Problems
4 Solve Uniform Motion Problems
5 Solve Constant Rate Job Problems
A.9 Interval Notation; Solving Inequalities
1 Use Interval Notation
2 Use Properties of Inequalities
3 Solve Inequalities
4 Solve Combined Inequalities
5 Solve Inequalities Involving Absolute Value
A.10 nth Roots; Rational Exponents
1 Work with nth Roots
2 Simplify Radicals
3 Rationalize Denominators and Numerators
4 Solve Radical Equations
5 Simplify Expressions with Rational Exponents
Appendix B Graphing Utilities
B.1 The Viewing Rectangle
B.2 Using a Graphing Utility to Graph Equations
B.3 Using a Graphing Utility to Locate Intercepts and Check for Symmetry
B.4 Using a Graphing Utility to Solve Equations
B.5 Square Screens
B.6 Using a Graphing Utility to Graph Inequalities
B.7 Using a Graphing Utility to Solve Systems of Linear Equations
B.8 Using a Graphing Utility to Graph a Polar Equation
B.9 Using a Graphing Utility to Graph Parametric Equations
Answers
CHAPTER 1 Graphs
CHAPTER 2 Functions and Their Graphs
CHAPTER 3 Linear and Quadratic Functions
CHAPTER 4 Polynomial and Rational Functions
CHAPTER 5 Exponential and Logarithmic Functions
CHAPTER 6 Trigonometric Functions
CHAPTER 7 Analytic Trigonometry
CHAPTER 8 Applications of Trigonometric Functions
CHAPTER 9 Polar Coordinates; Vectors
CHAPTER 10 Analytic Geometry
CHAPTER 11 Systems of Equations and Inequalities
CHAPTER 12 Sequences; Induction; the Binomial Theorem
CHAPTER 13 Counting and Probability
CHAPTER 14 A Preview of Calculus: The Limit, Derivative, and Integral of a Function
APPENDIX A Review
APPENDIX B Graphing Utilities
Photo Credits
Chapter 1
Chapter 2
Chapter 3
Chapter 4
Chapter 5
Chapter 6
Chapter 7
Chapter 8
Chapter 9
Chapter 10
Chapter 11
Chapter 12
Chapter 13
Chapter 14
Appendix A
Subject Index
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z

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