The Essentials Edition 

xi  
Preface to the Instructor 

xiii  


xix  
Photo Credits 

xxiii  


1  (82) 


2  (15) 


17  (12) 


29  (6) 


35  (8) 


43  (9) 

Polynomial Division; Synthetic Division 


52  (6) 


58  (12) 

nth Roots; Rational Exponents 


70  (13) 


77  (6) 

Equations and Inequalities 


83  (74) 


84  (12) 


96  (13) 

Quadratic Equations in the Complex Number System 


109  (9) 

Radical Equations; Equations Quadratic in Form; Factorable Equations 


118  (7) 


125  (11) 

Equations and Inequalities Involving Absolute Value 


136  (5) 

Applications: Interest, Mixture, Uniform Motion, Constant Rate Jobs 


141  (16) 


151  (4) 


155  (2) 


157  (60) 


158  (7) 


165  (10) 


175  (6) 


181  (13) 

Parallel and Perpendicular Lines 


194  (5) 

Scatter Diagrams; Linear Curve Fitting 


199  (7) 


206  (11) 


212  (4) 


216  (1) 


216  (1) 

Functions and Their Graphs 


217  (74) 


218  (13) 


231  (9) 


240  (11) 

Library of Functions; Piecewisedefined Functions 


251  (11) 

Graphing Techniques: Transformations 


262  (13) 

Mathematical Models: Constructing Functions 


275  (16) 


283  (6) 


289  (1) 


290  (1) 

Polynomial and Rational Functions 


291  (100) 

Quadratic Functions and Models 


292  (20) 


312  (18) 


330  (11) 

Rational Functions II: Analyzing Graphs 


341  (15) 

Polynomial and Rational Inequalities 


356  (6) 

The Real Zeros of a Polynomial Function 


362  (15) 

Complex Zeros; Fundamental Theorem of Algebra 


377  (14) 


383  (5) 


388  (1) 


389  (2) 

Exponential and Logarithmic Functions 


391  (100) 


392  (7) 


399  (13) 


412  (16) 


428  (13) 


441  (9) 

Logarithmic and Exponential Equations 


450  (5) 


455  (10) 

Exponential Growth and Decay; Newton's Law; Logistic Models 


465  (9) 

Fitting Data to Exponential, Logarithmic, and Logistic Functions 


474  (17) 


482  (6) 


488  (1) 


489  (2) 


491  (2) 















Systems of Equations and Inequalities 


493  (18) 

Systems of Linear Equations: Substitution and Elimination 


494  (17) 

Systems of Linear Equations: Matrices 



Systems of Linear Equations: Determinants 





Partial Fraction Decomposition 



Systems of Nonlinear Equations 













Sequences; Induction; the Binomial Theorem 


511  (30) 


512  (9) 


521  (6) 

Geometric Sequences; Geometric Series 


527  (14) 












541  (2) 



Permutations and Combinations 











Appendix Graphing Utilities 


543  


543  (2) 

2 Using a Graphing Utility to Graph Equations 


545  (4) 

3 Using a Graphing Utility to Locate Intercepts and Check for Symmetry 


549  (2) 

4 Using a Graphing Utility to Solve Equations 


551  (2) 


553  

6 Using a Graphing Utility to Graph Inequalities 



7 Using a Graphing Utility to Solve Systems of Linear Equations 


Answers 

1  (1) 
Index 

1  