Preface 

ix  
To the Student 

xii  
Applications Index 

xxi  

Prerequisites: Fundamental Concepts of Algebra 


1  (74) 

Real Numbers and Algebraic Expressions 


2  (11) 

Exponents and Scientific Notation 


13  (11) 

Radicals and Rational Exponents 


24  (12) 


36  (12) 


48  (11) 


59  (16) 


71  (1) 

Review Exercises or Algebra Skills Diagnostic Test 


71  (2) 


73  (2) 

Equations, Inequalities, and Mathematical Models 


75  (100) 

Graphs and Graphing Utilities 


76  (8) 


84  (11) 

Formulas and Applications 


95  (13) 


108  (6) 


114  (17) 


131  (13) 


144  (13) 

Quadratic and Rational Inequalities 


157  (18) 


168  (2) 


170  (3) 


173  (2) 


175  (104) 


176  (17) 

Distance and Midpoint Formulas; Circles 


193  (8) 


201  (13) 


214  (21) 

Transformations of Functions 


235  (13) 

Combinations of Functions; Composite Functions 


248  (12) 


260  (19) 


270  (2) 


272  (4) 


276  (2) 

Cumulative Review Exercises 


278  (1) 

Polynomial and Rational Functions 


279  (94) 


280  (13) 

Polynomial Functions and Their Graphs 


293  (11) 

Dividing Polynomials: Remainder and Factor Theorems 


304  (11) 

Zeros of Polynomial Functions 


315  (10) 

More on Zeros of Polynomial Functions 


325  (10) 

Rational Functions and Their Graphs 


335  (18) 


353  (20) 


366  (2) 


368  (3) 


371  (1) 

Cumulative Review Exercises 


372  (1) 

Exponential and Logarithmic Functions 


373  (65) 


374  (11) 


385  (13) 


398  (9) 

Exponential and Logarithmic Equations 


407  (11) 

Modeling with Exponential and Logarithmic Functions 


418  (20) 


432  (1) 


433  (4) 


437  (1) 

Cumulative Review Exercises 


437  (1) 

Systems of Equations and Inequalities 


438  (70) 

Systems of Linear Equations in Two Variables 


439  (17) 

Systems of Linear Equations in Three Variables 


456  (9) 


465  (9) 

Systems of Nonlinear Equations in Two Variables 


474  (9) 


483  (10) 


493  (15) 


502  (1) 


503  (3) 


506  (1) 

Cumulative Review Exercises 


507  (1) 

Matrices and Determinants 


508  (73) 

Matrix Solutions to Linear Systems 


509  (14) 

Inconsistent and Dependent Systems and Their Applications 


523  (9) 

Matrix Operations and Their Applications 


532  (15) 

Multiplicative Inverses of Matrices and Matrix Equations 


547  (15) 

Determinants and Cramer's Rule 


562  (19) 


575  (1) 


576  (3) 


579  (1) 

Cumulative Review Exercises 


579  (2) 

Conic Sections and Analytic Geometry 


581  (48) 


582  (13) 


595  (16) 


611  (18) 


625  (1) 


626  (1) 


627  (1) 

Cumulative Review Exercises 


628  (1) 

Sequences, Induction, and Probability 


629  (1) 

Sequences and Summation Notation 


630  (11) 


641  (9) 


650  (14) 


664  (9) 


673  (8) 

Counting Principles, Permutations, and Combinations 


681  (11) 


692  (13) 


705  (2) 


707  (3) 


710  (1) 

Cumulative Review Exercises 


711  
Appendix Where Did That Come From? Selected Proofs 

1  (1) 
Answers to Selected Exercises 

1  (1) 
Subject Index 

1  (1) 
Photo Credits 

1  