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Solution Manual – Algebra and Trigonometry
(11th Edition)Michael Sullivan | Complete
Coverage | Exam-Ready | Rated A+
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,Unistudydocs
Unistudydocs
INSTRUCTOR’S SOLUTIONS
MANUAL
TIM BRITT
Jackson State Community College
ALGEBRA AND
TRIGONOMETRY
E LEVENTH E DITION
Michael Sullivan
Chicago State University
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Table of Contents
Chapter R Review
R.1 Real Numbers ........................................................................................................................... 1
R.2 Algebra Essentials .................................................................................................................... 5
R.3 Geometry Essentials ............................................................................................................... 11
R.4 Polynomials ............................................................................................................................ 16
R.5 Factoring Polynomials ............................................................................................................ 23
R.6 Synthetic Division .................................................................................................................. 28
R.7 Rational Expressions .............................................................................................................. 30
R.8 nth Roots; Rational Exponents ............................................................................................... 40
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
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
1.7 Problem Solving: Interest, Mixture, Uniform Motion, Constant Rate Job Applications ...... 137
Chapter Review ............................................................................................................................ 145
Chapter Test ................................................................................................................................. 154
Chapter Projects ........................................................................................................................... 156
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
2.4 Circles ................................................................................................................................... 202
2.5 Variation................................................................................................................................ 216
Chapter Review ............................................................................................................................ 222
Chapter Test ................................................................................................................................. 228
Cumulative Review ...................................................................................................................... 230
Chapter Project ............................................................................................................................. 232
Chapter 3 Functions and Their Graphs
3.1 Functions ............................................................................................................................... 233
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
3.6 Mathematical Models: Building Functions ........................................................................... 307
Chapter Review ............................................................................................................................ 315
Chapter Test ................................................................................................................................. 322
Cumulative Review ...................................................................................................................... 325
Chapter Projects ........................................................................................................................... 329
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Chapter 4 Linear and Quadratic Functions
4.1 Properties of Linear Functions and Linear Models ............................................................... 331
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
Chapter Review ............................................................................................................................ 399
Chapter Test ................................................................................................................................. 407
Cumulative Review ...................................................................................................................... 409
Chapter Projects ........................................................................................................................... 412
Chapter 5 Polynomial and Rational Functions
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
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
Chapter Test ................................................................................................................................. 583
Cumulative Review ...................................................................................................................... 587
Chapter Projects ........................................................................................................................... 592
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
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
6.9 Building Exponential, Logarithmic, and Logistic Models from Data ................................... 723
Chapter Review ............................................................................................................................ 729
Chapter Test ................................................................................................................................. 741
Cumulative Review ...................................................................................................................... 745
Chapter Projects ........................................................................................................................... 748
Unistudydocs
Unistudydocs
Solution Manual – Algebra and Trigonometry
(11th Edition)Michael Sullivan | Complete
Coverage | Exam-Ready | Rated A+
Unistudydocs
,Unistudydocs
Unistudydocs
INSTRUCTOR’S SOLUTIONS
MANUAL
TIM BRITT
Jackson State Community College
ALGEBRA AND
TRIGONOMETRY
E LEVENTH E DITION
Michael Sullivan
Chicago State University
Unistudydocs
,Unistudydocs
Unistudydocs
Table of Contents
Chapter R Review
R.1 Real Numbers ........................................................................................................................... 1
R.2 Algebra Essentials .................................................................................................................... 5
R.3 Geometry Essentials ............................................................................................................... 11
R.4 Polynomials ............................................................................................................................ 16
R.5 Factoring Polynomials ............................................................................................................ 23
R.6 Synthetic Division .................................................................................................................. 28
R.7 Rational Expressions .............................................................................................................. 30
R.8 nth Roots; Rational Exponents ............................................................................................... 40
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
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
1.7 Problem Solving: Interest, Mixture, Uniform Motion, Constant Rate Job Applications ...... 137
Chapter Review ............................................................................................................................ 145
Chapter Test ................................................................................................................................. 154
Chapter Projects ........................................................................................................................... 156
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
2.4 Circles ................................................................................................................................... 202
2.5 Variation................................................................................................................................ 216
Chapter Review ............................................................................................................................ 222
Chapter Test ................................................................................................................................. 228
Cumulative Review ...................................................................................................................... 230
Chapter Project ............................................................................................................................. 232
Chapter 3 Functions and Their Graphs
3.1 Functions ............................................................................................................................... 233
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
3.6 Mathematical Models: Building Functions ........................................................................... 307
Chapter Review ............................................................................................................................ 315
Chapter Test ................................................................................................................................. 322
Cumulative Review ...................................................................................................................... 325
Chapter Projects ........................................................................................................................... 329
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Chapter 4 Linear and Quadratic Functions
4.1 Properties of Linear Functions and Linear Models ............................................................... 331
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
Chapter Review ............................................................................................................................ 399
Chapter Test ................................................................................................................................. 407
Cumulative Review ...................................................................................................................... 409
Chapter Projects ........................................................................................................................... 412
Chapter 5 Polynomial and Rational Functions
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
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
Chapter Test ................................................................................................................................. 583
Cumulative Review ...................................................................................................................... 587
Chapter Projects ........................................................................................................................... 592
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
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
6.9 Building Exponential, Logarithmic, and Logistic Models from Data ................................... 723
Chapter Review ............................................................................................................................ 729
Chapter Test ................................................................................................................................. 741
Cumulative Review ...................................................................................................................... 745
Chapter Projects ........................................................................................................................... 748
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