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, TABLE OF CONTENTS
Instructor's Solutions Manual for Algebra and Trigonometry, 11th
ST
Edition
Author: Michael Sullivan
UV
Review
Chapter 1. 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
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, Table of Contents
ST
Chapter R Review
R.1 Real Numbers ........................................................................................................................... 1
R.2 Algebra Essentials .................................................................................................................... 5
UV
R.3 Geometry Essentials ............................................................................................................... 11
R.4 Polynomials ............................................................................................................................ 16
R.5 Factoring Polynomials ............................................................................................................ 23
R.6 Synthetic Division .................................................................................................................. 28
R.7 Rational Expressions .............................................................................................................. 30
I
R.8 nth Roots; Rational Exponents ............................................................................................... 40
A_
Chapter 1 Equations and Inequalities
1.1 Linear Equations ..................................................................................................................... 50
1.2 Quadratic Equations ................................................................................................................ 68
1.3 Complex Numbers; Quadratic Equations in the Complex Number System............................ 87
M
1.4 Radical Equations; Equations Quadratic in Form; Factorable Equations ............................... 93
1.5 Solving Inequalities ............................................................................................................... 116
1.6 Equations and Inequalities Involving Absolute Value .......................................................... 127
ED
1.7 Problem Solving: Interest, Mixture, Uniform Motion, Constant Rate Job Applications ...... 137
Chapter Review ............................................................................................................................ 145
Chapter Test ................................................................................................................................. 154
Chapter Projects ........................................................................................................................... 156
CO
Chapter 2 Graphs
2.1 The Distance and Midpoint Formulas ................................................................................... 157
2.2 Graphs of Equations in Two Variables; Intercepts; Symmetry ............................................. 170
2.3 Lines ...................................................................................................................................... 184
NN
2.4 Circles ................................................................................................................................... 202
2.5 Variation................................................................................................................................ 216
Chapter Review ............................................................................................................................ 222
Chapter Test ................................................................................................................................. 228
Cumulative Review ...................................................................................................................... 230
Chapter Project ............................................................................................................................. 232
OI
Chapter 3 Functions and Their Graphs
3.1 Functions ............................................................................................................................... 233
SS
3.2 The Graph of a Function ....................................................................................................... 251
3.3 Properties of Functions.......................................................................................................... 260
3.4 Library of Functions; Piecewise-defined Functions .............................................................. 277
3.5 Graphing Techniques: Transformations ................................................................................ 289
EU
3.6 Mathematical Models: Building Functions ........................................................................... 307
Chapter Review ............................................................................................................................ 315
Chapter Test ................................................................................................................................. 322
Cumulative Review ...................................................................................................................... 325
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Chapter Projects ........................................................................................................................... 329
, Chapter 4 Linear and Quadratic Functions
4.1 Properties of Linear Functions and Linear Models ............................................................... 331
ST
4.2 Building Linear Functions from Data ................................................................................... 342
4.3 Quadratic Functions and Their Properties ............................................................................. 348
4.4 Build Quadratic Models from Verbal Descriptions and from Data ...................................... 371
4.5 Inequalities Involving Quadratic Functions .......................................................................... 379
UV
Chapter Review ............................................................................................................................ 399
Chapter Test ................................................................................................................................. 407
Cumulative Review ...................................................................................................................... 409
Chapter Projects ........................................................................................................................... 412
I
Chapter 5 Polynomial and Rational Functions
A_
5.1 Polynomial Functions............................................................................................................ 415
5.2 Graphing Polynomial Functions; Models............................................................................... 425
5.3 Properties of Rational Functions ........................................................................................... 441
5.4 The Graph of a Rational Function ......................................................................................... 451
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5.5 Polynomial and Rational Inequalities.................................................................................... 507
5.6 The Real Zeros of a Polynomial Function............................................................................. 528
5.7 Complex Zeros; Fundamental Theorem of Algebra .............................................................. 559
Chapter Review ............................................................................................................................ 568
ED
Chapter Test ................................................................................................................................. 583
Cumulative Review ...................................................................................................................... 587
Chapter Projects ........................................................................................................................... 592
CO
Chapter 6 Exponential and Logarithmic Functions
6.1 Composite Functions ............................................................................................................. 594
6.2 One-to-One Functions; Inverse Functions ............................................................................ 612
6.3 Exponential Functions ........................................................................................................... 634
6.4 Logarithmic Functions .......................................................................................................... 655
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6.5 Properties of Logarithms ....................................................................................................... 677
6.6 Logarithmic and Exponential Equations ............................................................................... 686
6.7 Financial Models ................................................................................................................... 706
6.8 Exponential Growth and Decay Models; Newton’s Law; Logistic Growth
and Decay Models .............................................................................................................. 714
OI
6.9 Building Exponential, Logarithmic, and Logistic Models from Data ................................... 723
Chapter Review ............................................................................................................................ 729
Chapter Test ................................................................................................................................. 741
Cumulative Review ...................................................................................................................... 745
SS
Chapter Projects ........................................................................................................................... 748
EU
R?
EU
SS
OI
NN
CO
ED
M
IA_
UV
ST
, TABLE OF CONTENTS
Instructor's Solutions Manual for Algebra and Trigonometry, 11th
ST
Edition
Author: Michael Sullivan
UV
Review
Chapter 1. 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
ST
Chapter R Review
R.1 Real Numbers ........................................................................................................................... 1
R.2 Algebra Essentials .................................................................................................................... 5
UV
R.3 Geometry Essentials ............................................................................................................... 11
R.4 Polynomials ............................................................................................................................ 16
R.5 Factoring Polynomials ............................................................................................................ 23
R.6 Synthetic Division .................................................................................................................. 28
R.7 Rational Expressions .............................................................................................................. 30
I
R.8 nth Roots; Rational Exponents ............................................................................................... 40
A_
Chapter 1 Equations and Inequalities
1.1 Linear Equations ..................................................................................................................... 50
1.2 Quadratic Equations ................................................................................................................ 68
1.3 Complex Numbers; Quadratic Equations in the Complex Number System............................ 87
M
1.4 Radical Equations; Equations Quadratic in Form; Factorable Equations ............................... 93
1.5 Solving Inequalities ............................................................................................................... 116
1.6 Equations and Inequalities Involving Absolute Value .......................................................... 127
ED
1.7 Problem Solving: Interest, Mixture, Uniform Motion, Constant Rate Job Applications ...... 137
Chapter Review ............................................................................................................................ 145
Chapter Test ................................................................................................................................. 154
Chapter Projects ........................................................................................................................... 156
CO
Chapter 2 Graphs
2.1 The Distance and Midpoint Formulas ................................................................................... 157
2.2 Graphs of Equations in Two Variables; Intercepts; Symmetry ............................................. 170
2.3 Lines ...................................................................................................................................... 184
NN
2.4 Circles ................................................................................................................................... 202
2.5 Variation................................................................................................................................ 216
Chapter Review ............................................................................................................................ 222
Chapter Test ................................................................................................................................. 228
Cumulative Review ...................................................................................................................... 230
Chapter Project ............................................................................................................................. 232
OI
Chapter 3 Functions and Their Graphs
3.1 Functions ............................................................................................................................... 233
SS
3.2 The Graph of a Function ....................................................................................................... 251
3.3 Properties of Functions.......................................................................................................... 260
3.4 Library of Functions; Piecewise-defined Functions .............................................................. 277
3.5 Graphing Techniques: Transformations ................................................................................ 289
EU
3.6 Mathematical Models: Building Functions ........................................................................... 307
Chapter Review ............................................................................................................................ 315
Chapter Test ................................................................................................................................. 322
Cumulative Review ...................................................................................................................... 325
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Chapter Projects ........................................................................................................................... 329
, Chapter 4 Linear and Quadratic Functions
4.1 Properties of Linear Functions and Linear Models ............................................................... 331
ST
4.2 Building Linear Functions from Data ................................................................................... 342
4.3 Quadratic Functions and Their Properties ............................................................................. 348
4.4 Build Quadratic Models from Verbal Descriptions and from Data ...................................... 371
4.5 Inequalities Involving Quadratic Functions .......................................................................... 379
UV
Chapter Review ............................................................................................................................ 399
Chapter Test ................................................................................................................................. 407
Cumulative Review ...................................................................................................................... 409
Chapter Projects ........................................................................................................................... 412
I
Chapter 5 Polynomial and Rational Functions
A_
5.1 Polynomial Functions............................................................................................................ 415
5.2 Graphing Polynomial Functions; Models............................................................................... 425
5.3 Properties of Rational Functions ........................................................................................... 441
5.4 The Graph of a Rational Function ......................................................................................... 451
M
5.5 Polynomial and Rational Inequalities.................................................................................... 507
5.6 The Real Zeros of a Polynomial Function............................................................................. 528
5.7 Complex Zeros; Fundamental Theorem of Algebra .............................................................. 559
Chapter Review ............................................................................................................................ 568
ED
Chapter Test ................................................................................................................................. 583
Cumulative Review ...................................................................................................................... 587
Chapter Projects ........................................................................................................................... 592
CO
Chapter 6 Exponential and Logarithmic Functions
6.1 Composite Functions ............................................................................................................. 594
6.2 One-to-One Functions; Inverse Functions ............................................................................ 612
6.3 Exponential Functions ........................................................................................................... 634
6.4 Logarithmic Functions .......................................................................................................... 655
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6.5 Properties of Logarithms ....................................................................................................... 677
6.6 Logarithmic and Exponential Equations ............................................................................... 686
6.7 Financial Models ................................................................................................................... 706
6.8 Exponential Growth and Decay Models; Newton’s Law; Logistic Growth
and Decay Models .............................................................................................................. 714
OI
6.9 Building Exponential, Logarithmic, and Logistic Models from Data ................................... 723
Chapter Review ............................................................................................................................ 729
Chapter Test ................................................................................................................................. 741
Cumulative Review ...................................................................................................................... 745
SS
Chapter Projects ........................................................................................................................... 748
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