Preface to the Instructor 

ix  (4) 
Preface to the Student 

xiii  (8) 
List of Applications 

xxi  (4) 
Photo Credits 

xxv  


1  (86) 


3  (18) 

1.2 Approximations; Calculators 


21  (4) 


25  (8) 


33  (11) 

1.5 Factoring Polynomials 


44  (8) 


52  (11) 

1.7 Square Roots; Radicals 


63  (8) 


71  (6) 


77  (5) 


82  (5) 

CHAPTER 2 EQUATIONS AND INEQUALITIES 


87  (74) 


89  (9) 

2.2 Setting Up Equations: Applications 


98  (11) 


109  (14) 

2.4 Other Types of Equations 


123  (4) 


127  (10) 


137  (7) 

2.7 Polynomial and Rational Inequalities 


144  (8) 

2.8 Equations and Inequalities Involving Absolute Value 


152  (5) 


157  (4) 


161  (66) 

3.1 Rectangular Coordinates; Scatter Diagrams 


163  (11) 


174  (11) 


185  (13) 

3.4 Parallel and Perpendicular Lines; Circles 


198  (10) 


208  (7) 


215  (7) 


222  (5) 

CHAPTER 4 FUNCTIONS AND THEIR GRAPHS 


227  (78) 


229  (19) 


248  (17) 

4.3 Graphing Techniques: Transformations 


265  (13) 

4.4 Operations on Functions; Composite Functions 


278  (10) 

4.5 Mathematical Models: Constructing Functions 


288  (10) 


298  (7) 

CHAPTER 5 POLYNOMIAL AND RATIONAL FUNCTIONS 


305  (106) 

5.1 Quadratic Functions; Curve Fitting 


307  (19) 


326  (17) 


343  (25) 


368  (4) 

5.5 The Real Zeros of a Polynomial Function 


372  (17) 

5.6 Complex Numbers; Quadratic Equations with a Negative Discriminant 


389  (9) 

5.7 Complex Zeros; Fundamental Theorem of Algebra 


398  (7) 


405  (6) 

CHAPTER 6 EXPONENTIAL AND LOGARITHMIC FUNCTIONS 


411  (82) 

6.1 OnetoOne Functions; Inverse Functions 


413  (11) 

6.2 Exponential Functions 


424  (13) 

6.3 Logarithmic Functions 


437  (9) 

6.4 Properties of Logarithms; Curve Fitting 


446  (13) 

6.5 Logarithmic and Exponential Equations 


459  (7) 


466  (9) 


475  (8) 


483  (5) 


488  (5) 


493  (40) 


495  (1) 


496  (10) 


506  (12) 


518  (12) 


530  (3) 

CHAPTER 8 SYSTEMS OF EQUATIONS AND INEQUALITIES 


533  (100) 

8.1 Systems of Linear Equations: Substitution; Elimination 


535  (13) 

8.2 Systems of Linear Equations: Matrices 


548  (16) 

8.3 Systems of Linear Equations: Determinants 


564  (12) 


576  (18) 

8.5 Partial Fraction Decomposition 


594  (7) 

8.6 Systems of Nonlinear Equations 


601  (10) 

8.7 Systems of Inequalities 


611  (8) 


619  (8) 


627  (6) 

CHAPTER 9 SEQUENCES; INDUCTION; COUNTING; PROBABILITY 


633  (76) 


635  (9) 


644  (6) 

9.3 Geometric Sequences; Geometric Series 


650  (12) 

9.4 Mathematical Induction 


662  (4) 


666  (9) 


675  (5) 

9.7 Permutations and Combinations 


680  (11) 


691  (10) 


701  (8) 

APPENDIX GRAPHING UTILITIES 


709  


709  (3) 

2. Using a Graphing Utility to Graph Equations 


712  (4) 

3. Using a Graphing Utility to Locate Intercepts 


716  (4) 


720  (1) 

5. Using a Graphing Utility to Graph Inequalities 


721  
Answers 

AN 1  
Index 

I 1  