Applications for the Managerial, Life,
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and Social Sciences– 6th Edition
SOLUTIONS
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MANUAL
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Ronald J. Harshbarger, Lisa S. Yocco
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Complete Solutions Manual for Instructors and
Students
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© Ronald J. Harshbarger, Lisa S. Yocco
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All rights reserved. Reproduction or distribution without permission is prohibited.
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©Medexcellence ✅��
, TABLE OF CONTENTS
Chapter 1 Functions, Graphs, and Models; Linear Functions
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Algebra Toolbox 1
1.1 Functions and Models 4
1.2 Graphs of Functions 10
1.3 Linear Functions 19
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1.4 Equations of Lines 25
Preparing for Calculus 35
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Chapter 1 Skills Check 36
Chapter 1 Review 39
Group Activities/Extended Applications 41
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Chapter 2 Linear Models, Equations, and Inequalities
Algebra Toolbox 43
2.1 Algebraic and Graphical Solution of Linear Equations 47
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2.2 Fitting Lines to Data Points: Modeling Linear Functions 59
2.3 Systems of Linear Equations in Two Variables 66
2.4 Solutions of Linear Inequalities 78
Preparing for Calculus 87
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Chapter 2 Skills Check 88
Chapter 2 Review 92
Group Activities/Extended Applications 96
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Chapter 3 Quadratic, Piecewise-Defined, and Power Functions
Algebra Toolbox 97
3.1 Quadratic Functions; Parabolas 101
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3.2 Solving Quadratic Equations 112
3.3 Power and Root Functions 125
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3.4 Piecewise-Defined Functions and Absolute Value Functions 131
3.5 Quadratic and Power Models 137
, Preparing for Calculus 145
Chapter 3 Skills Check 147
Chapter 3 Review 153
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Group Activities/Extended Applications 157
Chapter 4 Additional Topics with Functions
Algebra Toolbox 161
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4.1 Transformations of Graphs and Symmetry 163
4.2 Combining Functions; Composite Functions 173
4.3 One-to-One and Inverse Functions 182
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4.4 Additional Equations and Inequalities 189
Preparing for Calculus 203
Chapter 4 Skills Check 204
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Chapter 4 Review 208
Group Activities/Extended Applications 211
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Chapter 5 Exponential and Logarithmic Functions
Algebra Toolbox 215
5.1 Exponential Functions 218
5.2 Logarithmic Functions; Properties of Logarithms 225
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5.3 Exponential and Logarithmic Equations 232
5.4 Exponential and Logarithmic Models 243
5.5 Exponential Functions and Investing 251
5.6 Annuities; Loan Repayment 258
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5.7 Logistic and Gompertz Functions 263
Preparing for Calculus 269
Chapter 5 Skills Check 270
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Chapter 5 Review 272
Group Activities/Extended Applications 278
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, Chapter 6 Higher-Degree Polynomial and Rational Functions
Algebra Toolbox 279
6.1 Higher-Degree Polynomial Functions 283
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6.2 Modeling with Cubic and Quartic Functions 292
6.3 Solution of Polynomial Equations 299
6.4 Polynomial Equations Continued; 307
Fundamental Theorem of Algebra
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6.5 Rational Functions and Rational Equations 316
6.6 Polynomial and Rational Inequalities 328
Preparing for Calculus 337
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Chapter 6 Skills Check 339
Chapter 6 Review 346
Group Activities/Extended Applications 351
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Chapter 7 Systems of Equations and Matrices
Algebra Toolbox 355
7.1 Systems of Linear Equations in Three Variables 357
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7.2 Matrix Solution of Systems of Linear Equations 371
7.3 Matrix Operations 385
7.4 Inverse Matrices; Matrix Equations 392
7.5 Determinants and Cramer’s Rule 407
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7.6 Systems of Nonlinear Equations 419
Chapter 7 Skills Check 431
Chapter 7 Review 441
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Group Activities/Extended Applications 447
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