Preface to the Instructor 

ix  
Preface to the Student 

xiii  


xxiii  
Photo Credits 

xxvii  


1  (96) 

Rectangular Coordinates; Graphing Utilities; Scatter Diagrams 


2  (13) 


15  (14) 


29  (11) 

Setting Up Equations; Applications 


40  (13) 


53  (13) 


66  (17) 


83  (14) 


90  (5) 


95  (2) 

Linear and Quadratic Functions 


97  (58) 


98  (17) 

Linear Functions and Models 


115  (9) 

Quadratic Equations and Functions 


124  (15) 

Quadratic Functions and Models 


139  (16) 


150  (4) 


154  (1) 

Functions and Their Graphs 


155  (58) 

Characteristics of Functions; Library of Functions 


156  (22) 

Graphing Techniques: Transformations 


178  (13) 

Operations on Functions; Composite Functions 


191  (9) 

Mathematical Models: Constructing Functions 


200  (13) 


208  (4) 


212  (1) 

Polynomial and Rational Functions 


213  (96) 

Power Functions and Models 


214  (7) 

Polynomial Functions and Models 


221  (13) 


234  (6) 

The Real Zeros of a Polynomial Function 


240  (14) 

Complex Numbers; Quadratic Equations with a Negative Discriminant 


254  (9) 

Complex Zeros; Fundamental Theorem of Algebra 


263  (7) 


270  (23) 

Polynomial and Rational Inequalities 


293  (16) 


302  (5) 


307  (2) 

Exponential and Logarithmic Functions 


309  (92) 

OnetoOne Functions; Inverse Functions 


310  (13) 


323  (14) 


337  (10) 


347  (8) 

Logarithmic and Exponential Equations 


355  (7) 


362  (10) 


372  (10) 

Exponential, Logarithmic, and Logistic Curve Fitting 


382  (19) 


393  (5) 


398  (3) 

Systems of Equations and Inequalities 


401  (94) 

Systems of Linear Equations: Two Equations Containing Two Variables 


402  (11) 

Systems of Linear Equations: Three Equations Containing Three Variables 


413  (6) 

Systems of Linear Equations: Matrices 


419  (15) 

Systems of Linear Equations: Determinants 


434  (11) 


445  (19) 

Systems of Linear Inequalities; Linear Programming 


464  (17) 

Partial Fraction Decomposition 


481  (14) 


488  (5) 


493  (2) 


495  (92) 


496  (12) 

Right Triangle Trigonometry 


508  (11) 

Computing the Values of Trigonometric Functions of Given Angles 


519  (7) 

Trigonometric Functions of General Angles 


526  (11) 

Properties of the Trigonometric Functions; Unit Circle Approach 


537  (11) 

Graphs of the Trigonometric Functions 


548  (12) 

Sinusoidal Graphs; Sinusoidal Curve Fitting 


560  (27) 


579  (6) 


585  (2) 


587  (64) 


589  (5) 

Sum and Difference Formulas 


594  (9) 

DoubleAngle and HalfAngle Formulas 


603  (10) 

ProducttoSum and SumtoProduct Formulas 


613  (3) 

The Inverse Trigonometric Functions 


616  (16) 

Trigonometric Equations (I) 


632  (5) 

Trigonometric Equations (II) 


637  (14) 


644  (4) 


648  (3) 

Applications of Trigonometric Functions 


651  (48) 


652  (9) 


661  (12) 


673  (6) 


679  (6) 

Simple Harmonic Motion; Damped Motion 


685  (14) 


692  (5) 


697  (2) 

Polar Coordinates; Vectors 


699  (64) 


700  (8) 

Polar Equations and Graphs 


708  (20) 

The Complex Plane; DeMoivre's Theorem 


728  (8) 


736  (11) 


747  (16) 


757  (4) 


761  (2) 


763  (88) 


764  (1) 


765  (12) 


777  (13) 


790  (14) 

Rotation of Axes; General Form of a Conic 


804  (9) 

Polar Equations of Conics 


813  (6) 

Plane Curves and Parametric Equations 


819  (15) 

Systems of Nonlinear Equations 


834  (17) 


845  (4) 


849  (2) 

Sequences; Induction; the Binomial Theorem 


851  (54) 


852  (12) 


864  (7) 

Geometric Sequences; Geometric Series 


871  (16) 


887  (4) 


891  (14) 


898  (4) 


902  (3) 


905  (54) 


906  (6) 

Permutations and Combinations 


912  (10) 

Probability of Equally Likely Outcomes 


922  (16) 

Analyzing Univariate Data; Obtaining Probabilities from Data 


938  (21) 


952  (5) 


957  (2) 
APPENDIX REVIEW 

959  


959  (14) 


973  (11) 


984  (6) 


990  (8) 


998  (8) 


1006  (9) 


1015  (12) 

8. Square Roots; Radicals 


1027  (8) 


1035  
Answers 

AN1  (1) 
Index 

I1  