Preface to the Instructor 

ix  
Preface to the Student 

xiii  


xxi  
Photo Credits 

xxv  


1  (86) 


3  (18) 

Approximations; Calculators 


21  (4) 


25  (8) 


33  (11) 


44  (8) 


52  (11) 


63  (8) 


71  (6) 


77  (10) 


82  (5) 

Equations and Inequalities 


87  (74) 


89  (9) 

Setting Up Equations: Applications 


98  (11) 


109  (14) 


123  (4) 


127  (10) 


137  (7) 

Polynomial and Rational Inequalities 


144  (8) 

Equations and Inequalities Involving Absolute Value 


152  (9) 


157  (4) 


161  (66) 

Rectangular Coordinates: Scatter Diagrams 


163  (11) 


174  (11) 


185  (13) 

Parallel and Perpendicular Lines: Circles 


198  (10) 


208  (7) 


215  (12) 


222  (5) 

Functions and Their Graphs 


227  (78) 


229  (19) 


248  (17) 

Graphing Techniques: Transformations 


265  (13) 

Operations on Functions; Composite Functions 


278  (10) 

Mathematical Models: Constructing Functions 


288  (17) 


298  (7) 

Polynomial and Rational Functions 


305  (106) 

Quadratic Functions; Curve Fitting 


307  (19) 


326  (17) 


343  (25) 


368  (4) 

The Real Zeros of a Polynomial Function 


372  (17) 

Complex Numbers; Quadratic Equations with a Negative Discriminant 


389  (9) 

Complex Zeros; Fundamental Theorem of Algebra 


398  (13) 


405  (6) 

Exponential and Logarithmic Functions 


411  (82) 

OnetoOne Functions; Inverse Functions 


413  (11) 


424  (13) 


437  (9) 

Properties of Logarithms; Curve Fitting 


446  (13) 

Logarithmic and Exponential Equations 


459  (7) 


466  (9) 


475  (8) 


483  (10) 


488  (5) 


493  (90) 


495  (11) 

Right Triangle Trigonometry 


506  (11) 

Computing the Values of Trigonometric Functions of Given Angles 


517  (7) 

Trigonometric Functions of General Angles 


524  (11) 

Properties of the Trigonometric Functions; Unit Circle Approach 


535  (11) 

Graphs of the Trigonometric Functions 


546  (11) 

Sinusoidal Graphs; Sinusoidal Curve Fitting 


557  (26) 


576  (7) 


583  (64) 


585  (6) 

Sum and Difference Formulas 


591  (9) 

Doubleangle and Halfangle Formulas 


600  (10) 

ProducttoSum and SumtoProduct Formulas 


610  (4) 

The Inverse Trigonometric Functions 


614  (16) 


630  (17) 


642  (5) 

Application of Trigonometric Functions 


647  (48) 


649  (10) 


659  (11) 


670  (7) 


677  (7) 

Simple Harmonic Motion; Damped Motion 


684  (11) 


690  (5) 

Polar Coordinates: Vectors 


695  (62) 


697  (8) 

Polar Equations and Graphs 


705  (17) 

The Complex Plane; DeMoivre's Theorem 


722  (10) 


732  (11) 


743  (14) 


753  (4) 


757  (68) 


759  (1) 


760  (10) 


770  (12) 


782  (12) 

Rotation of Axes; General Form of a Conic 


794  (8) 

Polar Equations of Conics 


802  (5) 

Plane Curves and Parametric Equations 


807  (18) 


820  (5) 

Systems of Equations and Inequalities 


825  (100) 

Systems of Linear Equations: Substitution; Elimination 


827  (13) 

Systems of Linear Equations: Matrices 


840  (16) 

Systems of Linear Equations: Determinants 


856  (12) 


868  (18) 

Partial Fraction Decomposition 


886  (7) 

Systems of Nonlinear Equations 


893  (10) 


903  (8) 


911  (14) 


919  (6) 

Sequences; Induction; Counting; Probability 


925  (76) 


927  (9) 


936  (6) 

Geometric Sequences; Geometric Series 


942  (12) 


954  (4) 


958  (9) 


967  (5) 

Permutations and Combinations 


972  (11) 


983  (18) 


993  (8) 
APPENDIX GRAPHING UTILITIES 

1001  


1001  (3) 

2. Using a Graphing Utility to Graph Equations 


1004  (4) 

3. Using a Graphing Utility to Locate Intercepts 


1008  (4) 


1012  (1) 

5. Using a Graphing Utility to Graph Ineuqulities 


1013  (1) 

6. Using a Graphing Utility to Graph a Polar Equation 


1014  (1) 

7. Using a Grraphing Utility to Graph Parametric Equations 


1015  
Answers 

1  (1) 
Index 

1  