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, TABLE OF CONTENTS
Instructor's Solutions Manual for Algebra and Trigonometry
ST
Enhanced with Graphing Utilities, 8th Edition
Author: Michael Sullivan & Michael Sullivan III
UV
Review
Chapter 1. Graphs, Equations, and Inequalities
I
Chapter 2. Graphs
A_
Chapter 3. Functions and Their Graphs
Chapter 4. Linear and Quadratic Functions
M
Chapter 5. Polynomial and Rational Functions
Chapter 6. Exponential and Logarithmic Functions
Chapter 7. Trigonometric Functions
ED
Chapter 8. Analytic Trigonometry
Chapter 9. Applications of Trigonometric Functions
CO
Chapter 10. Polar Coordinates; Vectors
Chapter 11. Analytic Geometry
Chapter 12. Systems of Equations and Inequalities
NN
Chapter 13. Sequences; Induction; the Binomial Theorem
Chapter 14. Counting and Probability
OI
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, Table of Contents
Chapter R Review
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R.1 Real Numbers .......................................................................................................................... 1
R.2 Algebra Essentials ................................................................................................................... 5
R.3 Geometry Essentials .............................................................................................................. 11
R.4 Polynomials ........................................................................................................................... 16
UV
R.5 Factoring Polynomials ........................................................................................................... 23
R.6 Synthetic Division ................................................................................................................. 28
R.7 Rational Expressions ............................................................................................................. 30
R.8 nth Roots; Rational Exponents .............................................................................................. 40
I
Chapter 1 Graphs, Equations, and Inequalities
A_
1.1 Graphing Utilities; Introduction to Graphing Equations ....................................................... 50
1.2 Solving Equations Using a Graphing Utility; Linear and Rational Equations....................... 57
1.3 Quadratic Equations .............................................................................................................. 71
1.4 Complex Numbers; Quadratic Equations in the Complex Number System .......................... 90
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1.5 Radical Equations; Equations Quadratic in Form; Absolute Value Equations;
Factorable Equations ............................................................................................................. 96
1.6 Problem Solving: Interest, Mixture, Uniform Motion, and Constant Rate Jobs .................. 117
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1.7 Solving Inequalities ............................................................................................................. 125
Chapter Review ............................................................................................................................ 137
Chapter Test ................................................................................................................................. 147
Chapter Projects ........................................................................................................................... 151
CO
Chapter 2 Graphs
2.1 The Distance and Midpoint Formulas ................................................................................. 152
2.2 Intercepts; Symmetry; Graphing Key Equations ................................................................. 165
2.3 Lines .................................................................................................................................... 182
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2.4 Circles .................................................................................................................................. 200
2.5 Variation .............................................................................................................................. 215
Chapter Review ............................................................................................................................ 220
Chapter Test ................................................................................................................................. 226
Cumulative Review ...................................................................................................................... 228
OI
Chapter Projects ........................................................................................................................... 230
Chapter 3 Functions and Their Graphs
3.1 Functions ............................................................................................................................. 231
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3.2 The Graph of a Function ...................................................................................................... 249
3.3 Properties of Functions ........................................................................................................ 258
3.4 Library of Functions; Piecewise-defined Functions ............................................................ 275
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3.5 Graphing Techniques: Transformations .............................................................................. 287
3.6 Mathematical Models: Building Functions.......................................................................... 305
Chapter Review ............................................................................................................................ 313
Chapter Test ................................................................................................................................. 320
Cumulative Review ...................................................................................................................... 323
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Chapter Projects ........................................................................................................................... 327
Copyright © 2021 Pearson Education, Inc.
, Chapter 4 Linear and Quadratic Functions
4.1 Properties of Linear Functions and Linear Models.............................................................. 329
4.2 Building Linear Models from Data ...................................................................................... 340
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4.3 Quadratic Functions and Their Properties ........................................................................... 346
4.4 Build Quadratic Models from Verbal Descriptions and from Data ..................................... 370
4.5 Inequalities Involving Quadratic Functions ......................................................................... 378
Chapter Review ............................................................................................................................ 397
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Chapter Test ................................................................................................................................. 405
Cumulative Review ...................................................................................................................... 408
Chapter Projects ........................................................................................................................... 411
Chapter 5 Polynomial and Rational Functions
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5.1 Polynomial Functions .......................................................................................................... 414
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5.2 The Graph of a Polynomial Function; Models .................................................................... 425
5.3 The Real Zeros of a Polynomial Function ........................................................................... 445
5.4 Complex Zeros; Fundamental Theorem of Algebra ............................................................ 482
5.5 Properties of Rational Functions ......................................................................................... 491
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5.6 The Graph of a Rational Function ....................................................................................... 501
5.7 Polynomial and Rational Inequalities .................................................................................. 557
Chapter Review ............................................................................................................................ 579
Chapter Test ................................................................................................................................. 593
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Cumulative Review ...................................................................................................................... 597
Chapter Projects ........................................................................................................................... 602
Chapter 6 Exponential and Logarithmic Functions
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6.1 Composite Functions ........................................................................................................... 603
6.2 One-to-One Functions; Inverse Functions ........................................................................... 621
6.3 Exponential Functions ......................................................................................................... 644
6.4 Logarithmic Functions ......................................................................................................... 665
6.5 Properties of Logarithms ..................................................................................................... 687
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6.6 Logarithmic and Exponential Equations.............................................................................. 696
6.7 Financial Models ................................................................................................................. 717
6.8 Exponential Growth and Decay Models; Newton’s Law; Logistic Growth
and Decay Models ............................................................................................................... 725
6.9 Building Exponential, Logarithmic, and Logistic Models from Data ................................. 736
OI
Chapter Review ............................................................................................................................ 741
Chapter Test ................................................................................................................................. 763
Cumulative Review ...................................................................................................................... 757
Chapter Projects ........................................................................................................................... 760
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EU
R?
Copyright © 2021 Pearson Education, Inc.
EU
SS
OI
NN
CO
ED
M
IA_
UV
ST
, TABLE OF CONTENTS
Instructor's Solutions Manual for Algebra and Trigonometry
ST
Enhanced with Graphing Utilities, 8th Edition
Author: Michael Sullivan & Michael Sullivan III
UV
Review
Chapter 1. Graphs, Equations, and Inequalities
I
Chapter 2. Graphs
A_
Chapter 3. Functions and Their Graphs
Chapter 4. Linear and Quadratic Functions
M
Chapter 5. Polynomial and Rational Functions
Chapter 6. Exponential and Logarithmic Functions
Chapter 7. Trigonometric Functions
ED
Chapter 8. Analytic Trigonometry
Chapter 9. Applications of Trigonometric Functions
CO
Chapter 10. Polar Coordinates; Vectors
Chapter 11. Analytic Geometry
Chapter 12. Systems of Equations and Inequalities
NN
Chapter 13. Sequences; Induction; the Binomial Theorem
Chapter 14. Counting and Probability
OI
SS
EU
R?
, Table of Contents
Chapter R Review
ST
R.1 Real Numbers .......................................................................................................................... 1
R.2 Algebra Essentials ................................................................................................................... 5
R.3 Geometry Essentials .............................................................................................................. 11
R.4 Polynomials ........................................................................................................................... 16
UV
R.5 Factoring Polynomials ........................................................................................................... 23
R.6 Synthetic Division ................................................................................................................. 28
R.7 Rational Expressions ............................................................................................................. 30
R.8 nth Roots; Rational Exponents .............................................................................................. 40
I
Chapter 1 Graphs, Equations, and Inequalities
A_
1.1 Graphing Utilities; Introduction to Graphing Equations ....................................................... 50
1.2 Solving Equations Using a Graphing Utility; Linear and Rational Equations....................... 57
1.3 Quadratic Equations .............................................................................................................. 71
1.4 Complex Numbers; Quadratic Equations in the Complex Number System .......................... 90
M
1.5 Radical Equations; Equations Quadratic in Form; Absolute Value Equations;
Factorable Equations ............................................................................................................. 96
1.6 Problem Solving: Interest, Mixture, Uniform Motion, and Constant Rate Jobs .................. 117
ED
1.7 Solving Inequalities ............................................................................................................. 125
Chapter Review ............................................................................................................................ 137
Chapter Test ................................................................................................................................. 147
Chapter Projects ........................................................................................................................... 151
CO
Chapter 2 Graphs
2.1 The Distance and Midpoint Formulas ................................................................................. 152
2.2 Intercepts; Symmetry; Graphing Key Equations ................................................................. 165
2.3 Lines .................................................................................................................................... 182
NN
2.4 Circles .................................................................................................................................. 200
2.5 Variation .............................................................................................................................. 215
Chapter Review ............................................................................................................................ 220
Chapter Test ................................................................................................................................. 226
Cumulative Review ...................................................................................................................... 228
OI
Chapter Projects ........................................................................................................................... 230
Chapter 3 Functions and Their Graphs
3.1 Functions ............................................................................................................................. 231
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3.2 The Graph of a Function ...................................................................................................... 249
3.3 Properties of Functions ........................................................................................................ 258
3.4 Library of Functions; Piecewise-defined Functions ............................................................ 275
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3.5 Graphing Techniques: Transformations .............................................................................. 287
3.6 Mathematical Models: Building Functions.......................................................................... 305
Chapter Review ............................................................................................................................ 313
Chapter Test ................................................................................................................................. 320
Cumulative Review ...................................................................................................................... 323
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Chapter Projects ........................................................................................................................... 327
Copyright © 2021 Pearson Education, Inc.
, Chapter 4 Linear and Quadratic Functions
4.1 Properties of Linear Functions and Linear Models.............................................................. 329
4.2 Building Linear Models from Data ...................................................................................... 340
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4.3 Quadratic Functions and Their Properties ........................................................................... 346
4.4 Build Quadratic Models from Verbal Descriptions and from Data ..................................... 370
4.5 Inequalities Involving Quadratic Functions ......................................................................... 378
Chapter Review ............................................................................................................................ 397
UV
Chapter Test ................................................................................................................................. 405
Cumulative Review ...................................................................................................................... 408
Chapter Projects ........................................................................................................................... 411
Chapter 5 Polynomial and Rational Functions
I
5.1 Polynomial Functions .......................................................................................................... 414
A_
5.2 The Graph of a Polynomial Function; Models .................................................................... 425
5.3 The Real Zeros of a Polynomial Function ........................................................................... 445
5.4 Complex Zeros; Fundamental Theorem of Algebra ............................................................ 482
5.5 Properties of Rational Functions ......................................................................................... 491
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5.6 The Graph of a Rational Function ....................................................................................... 501
5.7 Polynomial and Rational Inequalities .................................................................................. 557
Chapter Review ............................................................................................................................ 579
Chapter Test ................................................................................................................................. 593
ED
Cumulative Review ...................................................................................................................... 597
Chapter Projects ........................................................................................................................... 602
Chapter 6 Exponential and Logarithmic Functions
CO
6.1 Composite Functions ........................................................................................................... 603
6.2 One-to-One Functions; Inverse Functions ........................................................................... 621
6.3 Exponential Functions ......................................................................................................... 644
6.4 Logarithmic Functions ......................................................................................................... 665
6.5 Properties of Logarithms ..................................................................................................... 687
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6.6 Logarithmic and Exponential Equations.............................................................................. 696
6.7 Financial Models ................................................................................................................. 717
6.8 Exponential Growth and Decay Models; Newton’s Law; Logistic Growth
and Decay Models ............................................................................................................... 725
6.9 Building Exponential, Logarithmic, and Logistic Models from Data ................................. 736
OI
Chapter Review ............................................................................................................................ 741
Chapter Test ................................................................................................................................. 763
Cumulative Review ...................................................................................................................... 757
Chapter Projects ........................................................................................................................... 760
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Copyright © 2021 Pearson Education, Inc.
