Preface to the Instructor 

xiii  


xix  
Photo Credits 

xxiii  
To the Student 

xxiv  


1  (82) 


2  (14) 


16  (13) 


29  (6) 


35  (10) 


45  (8) 


53  (4) 


57  (11) 

nth Roots; Rational Exponents 


68  (15) 


76  (7) 

Graphs, Equations, and Inequalities 


83  (114) 

Rectangular Coordinates; Graphing Utilities; Introduction to Graphing Equations 


84  (16) 

Solving Equations Using a Graphing Utility; Linear and Rational Equations 


100  (12) 


112  (12) 

Complex Numbers; Quadratic Equations in the Complex Number System 


124  (9) 

Radical Equations; Equations Quadratic in Form; Absolute Value Equations; Factorable Equations 


133  (8) 

Problem Solving: Interest, Mixture, Uniform Motion, Constant Rate Jobs 


141  (9) 


150  (13) 


163  (17) 


180  (17) 


187  (7) 


194  (1) 


195  (2) 

Functions and Their Graphs 


197  (100) 

Symmetry; Graphing Key Equations 


198  (6) 


204  (15) 


219  (9) 


228  (13) 

Linear Functions and Models 


241  (14) 

Library of Functions; PiecewiseDefined Functions 


255  (11) 

Graphing Techniques: Transformations 


266  (12) 

Mathematical Models: Constructing Functions 


278  (19) 


286  (7) 


293  (1) 


294  (1) 


295  (2) 

Polynomial and Rational Functions 


297  (98) 

Quadratic Functions and Models 


298  (20) 

Polynomial Functions and Models 


318  (16) 

Properties of Rational Functions 


334  (12) 

The Graph of a Rational Function; Inverse and Joint Variation 


346  (14) 

Polynomial and Rational Inequalities 


360  (7) 

The Real Zeros of a Polynomial Function 


367  (14) 

Complex Zeros; Fundamental Theorem of Algebra 


381  (14) 


386  (6) 


392  (1) 


393  (1) 


393  (2) 

Exponential and Logarithmic Functions 


395  (108) 


396  (8) 

OnetoOne Functions; Inverse Functions 


404  (15) 


419  (16) 


435  (13) 


448  (9) 

Logarithmic and Exponential Equations 


457  (6) 


463  (9) 

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


472  (13) 

Building Exponential, Logarithmic, and Logistic Models from Data 


485  (18) 


493  (7) 


500  (1) 


501  (1) 


501  (2) 

Systems of Equations and Inequalities 


503  (92) 

Systems of Linear Equations: Substitution and Elimination 


504  (15) 

Systems of Linear Equations: Matrices 


519  (17) 

Systems of Linear Equations: Determinants 


536  (10) 


546  (17) 

Partial Fraction Decomposition 


563  (8) 

Systems of Linear Inequalities 


571  (9) 


580  (15) 


588  (4) 


592  (1) 


593  (1) 


594  (1) 


595  (106) 


596  (14) 

Right Triangle Trigonometry 


610  (13) 

Computing the Values of Trigonometric Functions of Acute Angles 


623  (12) 

Trigonometric Functions of General Angles 


635  (10) 

Unit Circle Approach: Properties of the Trigonometric Functions 


645  (11) 

Graphs of the Sine and Cosine Functions 


656  (17) 

Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions 


673  (6) 

Phase Shift; Sinusoidal Curve Fitting 


679  (22) 


691  (6) 


697  (2) 


699  (1) 


700  (1) 


701  (70) 

The Inverse Sine, Cosine, and Tangent Functions 


702  (12) 

The Inverse Trigonometric Functions [continued] 


714  (5) 


719  (8) 

Sum and Difference Formulas 


727  (10) 

Doubleangle and Halfangle Formulas 


737  (10) 

ProducttoSum and SumtoProduct Formulas 


747  (3) 

Trigonometric Equations (I) 


750  (7) 

Trigonometric Equations (II) 


757  (14) 


765  (3) 


768  (1) 


769  (1) 


770  (1) 

Applications of Trigonometric Functions 


771  (46) 

Applications Involving Right Triangles 


772  (5) 


777  (12) 


789  (10) 


799  (2) 

Simple Harmonic Motion; Damped Motion; Combining Waves 


801  (16) 


810  (4) 


814  (1) 


815  (1) 


816  (1) 

Polar Coordinates; Vectors 


817  (62) 


818  (9) 

Polar Equations and Graphs 


827  (19) 

The Complex Plane; De Moivre's Theorem 


846  (8) 


854  (12) 


866  (13) 


874  (3) 


877  (1) 


878  (1) 


878  (1) 


879  (86) 


880  (1) 


881  (11) 


892  (11) 


903  (14) 

Rotation of Axes; General Form of a Conic 


917  (9) 

Polar Equations of Conics 


926  (7) 

Plane Curves and Parametric Equations 


933  (14) 

Systems of Nonlinear Equations and Inequalities 


947  (18) 


959  (3) 


962  (1) 


963  (1) 


963  (2) 

Sequences; Induction; The Binomial Theorem 


965  (44) 


966  (12) 


978  (6) 

Geometric Sequences; Geometric Series 


984  (9) 


993  (4) 


997  (12) 


1004  (2) 


1006  (1) 


1007  (1) 


1008  (1) 


1009  


1010  (6) 

Permutations and Combinations 


1016  (11) 


1027  


1038  (3) 


1041  (1) 


1042  (1) 


1042  
Answers 

1  (1) 
Index 

1  