Preface to the Instructor 

xi  
Preface to the Student 

xvi  
Photo and Illustration Credits 

xvii  


xxvii  


1  (70) 

Classification of Numbers 


2  (10) 


12  (12) 


24  (5) 


29  (8) 

Polynomial Division; Synthetic Division 


37  (7) 


44  (9) 


53  (11) 

nth Roots; Rational Exponents 


64  (7) 

Equations, Inequalities, and Functions 


71  (88) 

Solving Equations and Inequalities in One Variable Algebraically 


72  (14) 

Rectangular Coordinates; Graphing Utilities 


86  (9) 

Introduction to Graphing Equations 


95  (8) 

Symmetry; Graphing Key Equations; Circles 


103  (13) 

Solving Equations and Inequalities in One Variable Using a Graphing Utility 


116  (5) 

Introduction to Functions 


121  (13) 


134  (8) 


142  (17) 


152  (5) 


157  (2) 

Linear Functions and Models 


159  (54) 

Properties of Linear Functions 


160  (13) 

Equations of Lines; Building Linear Functions 


173  (13) 

Setting Up Linear Equations; Applications 


186  (13) 

Building Linear Functions from Data 


199  (14) 


207  (4) 


211  (1) 


212  (1) 

Quadratic Functions and Models 


213  (54) 


214  (13) 

The Graph of a Quadratic Function 


227  (13) 

Inequalities Involving Quadratic Functions 


240  (5) 

Quadratic Models: Building Quadratic Functions 


245  (7) 

Complex Numbers; Quadratic Equations with a Negative Discriminant 


252  (15) 


261  (3) 


264  (1) 


265  (2) 

Additional Functions and Models 


267  (46) 

Radical Equations; Absolute Value Equations; Absolute Value Inequalities 


268  (9) 

Library of Functions; Piecewisedefined Functions 


277  (11) 

Graphing Techniques: Transformations 


288  (13) 

Models Involving the Square Root Function and Piecewisedefined Functions 


301  (12) 


308  (2) 


310  (1) 


311  (2) 

Polynomial and Rational Functions 


313  (80) 

Power Functions and Models 


314  (6) 

Polynomial Functions and Models 


320  (15) 


335  (12) 

Rational Functions II: Analyzing Graphs 


347  (13) 

Polynomial and Rational Inequalities 


360  (6) 

The Real Zeros of a Polynomial Function 


366  (14) 

Complex Zeros; Fundamental Theorem of Algebra 


380  (13) 


386  (4) 


390  (2) 


392  (1) 

Exponential and Logarithmic Functions 


393  (106) 


394  (7) 


401  (14) 


415  (16) 


431  (12) 


443  (9) 

Logarithmic and Exponential Equations 


452  (5) 


457  (10) 

Exponential Growth and Decay 


467  (8) 

Logistic Growth and Decay 


475  (6) 

Fitting Data to Exponential, Logarithmic, and Logistic Functions 


481  (18) 


489  (7) 


496  (1) 


497  (2) 


499  (46) 


500  (1) 


501  (11) 


512  (13) 


525  (20) 


540  (2) 


542  (1) 


543  (2) 

Systems of Equations and Inequalities 


545  (106) 

Systems of Linear Equations: Substitution and Elimination 


546  (15) 

Systems of Linear Equations: Matrices 


561  (17) 

Systems of Linear Equations: Determinants 


578  (12) 


590  (18) 

Partial Fraction Decomposition 


608  (7) 

Systems of Nonlinear Equations 


615  (12) 


627  (9) 


636  (15) 


644  (5) 


649  (1) 


650  (1) 

Sequences; Induction; The Binomial Theorem 


651  (50) 


652  (15) 


667  (6) 

Geometric Sequences; Geometric Series 


673  (10) 


683  (4) 


687  (14) 


695  (3) 


698  (2) 


700  (1) 


701  


702  (6) 

Permutations and Combinations 


708  (11) 

Probability of Equally Likely Outcomes 


719  (14) 

Obtaining Probabilities from Data 


733  


739  (4) 


743  (1) 


744  
Answers 

1  (1) 
Index 

1  