Preface to the Instructor 

xi  


xvi  
Photo Credits 

xx  


1  (48) 


2  (7) 

Graphs of Equations; Circles 


9  (13) 


22  (16) 

Scatter Diagrams; Linear Curve Fitting 


38  (11) 


45  (3) 


48  (1) 

Functions and Their Graphs 


49  (74) 


50  (13) 


63  (9) 


72  (11) 

Library of Functions; Piecewisedefined Functions 


83  (11) 

Graphing Techniques: Transformations 


94  (13) 

Mathematical Models: Constructing Functions 


107  (16) 


115  (6) 


121  (1) 


122  (1) 

Polynomial and Rational Functions 


123  (100) 

Quadratic Functions and Models 


124  (20) 


144  (18) 


162  (11) 

Rational Functions II: Analyzing Graphs 


173  (15) 

Polynomial and Rational Inequalities 


188  (6) 

The Real Zeros of a Polynomial Function 


194  (15) 

Complex Zeros; Fundamental Theorem of Algebra 


209  (14) 


215  (5) 


220  (1) 


221  (2) 

Exponential and Logarithmic Functions 


223  (100) 


224  (7) 


231  (13) 


244  (16) 


260  (13) 


273  (9) 

Logarithmic and Exponential Equations 


282  (5) 


287  (10) 

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


297  (9) 

Fitting Data to Exponential, Logarithmic, and Logistic Functions 


306  (17) 


314  (6) 


320  (1) 


321  (2) 


323  (90) 


324  (14) 

Trigonometric Functions: Unit Circle Approach 


338  (17) 

Properties of the Trigonometric Functions 


355  (14) 

Graphs of the Sine and Cosine Functions 


369  (17) 

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


386  (7) 

Phase Shift; Sinusoidal Curve Fitting 


393  (20) 


405  (6) 


411  (1) 


412  (1) 


413  (68) 

The Inverse Sine, Cosine, and Tangent Functions 


414  (11) 

The Inverse Trigonometric Functions (continued) 


425  (5) 


430  (7) 

Sum and Difference Formulas 


437  (11) 

Doubleangle and Halfangle Formulas 


448  (9) 

ProducttoSum and SumtoProduct Formulas 


457  (4) 

Trigonometric Equations I 


461  (6) 

Trigonometric Equations II 


467  (14) 


475  (4) 


479  (1) 


480  (1) 

Applications of Trigonometric Functions 


481  (54) 

Right Triangle Trigonometry; Applications 


482  (12) 


494  (13) 


507  (6) 


513  (6) 

Simple Harmonic Motion; Damped Motion; Combining Waves 


519  (16) 


528  (5) 


533  (1) 


534  (1) 

Polar Coordinates; Vectors 


535  (78) 


536  (9) 

Polar Equations and Graphs 


545  (17) 

The Complex Plane; De Moivre's Theorem 


562  (8) 


570  (12) 


582  (8) 


590  (10) 


600  (13) 


607  (4) 


611  (1) 


612  (1) 


613  (70) 


614  (1) 


615  (10) 


625  (10) 


635  (14) 

Rotation of Axes; General Form of a Conic 


649  (9) 

Polar Equations of Conics 


658  (6) 

Plane Curves and Parametric Equations 


664  (19) 


678  (3) 


681  (1) 


682  (1) 

Systems of Equations and Inequalities 


683  (100) 

Systems of Linear Equations: Substitution and Elimination 


684  (16) 

Systems of Linear Equations: Matrices 


700  (16) 

Systems of Linear Equations: Determinants 


716  (10) 


726  (17) 

Partial Fraction Decomposition 


743  (8) 

Systems of Nonlinear Equations 


751  (9) 


760  (9) 


769  (14) 


777  (4) 


781  (1) 


782  (1) 

Sequences; Induction; The Binomial Theorem 


783  (44) 


784  (9) 


793  (6) 

Geometric Sequences; Geometric Series 


799  (12) 


811  (4) 


815  (12) 


822  (3) 


825  (1) 


826  (1) 


827  (34) 


828  (6) 

Permutations and Combinations 


834  (11) 


845  (16) 


856  (3) 


859  (1) 


860  (1) 

A Preview of Calculus: The Limit, Derivative, and Integral of a Function 


861  (42) 

Finding Limits Using Tables and Graphs 


862  (5) 

Algebra Techniques for Finding Limits 


867  (8) 

Onesided Limits, Continuous Functions 


875  (8) 

The Tangent Problem; The Derivative 


883  (8) 

The Area Problem; The Integral 


891  (12) 


898  (4) 


902  (1) 


903  (82) 


903  (10) 


913  (5) 

A.3 Polynomials and Rational Expressions 


918  (11) 

A.4 Polynomial Division; Synthetic Division 


929  (7) 


936  (11) 

A.6 Complex Numbers; Quadratic Equations in the Complex Number System 


947  (9) 

A.7 Setting Up Equations: Applications 


956  (12) 

A.8 Interval Notation; Solving Inequalities 


968  (9) 

A.9 nth Roots; Rational Exponents; Radical Equations 


977  (8) 

Appendix B Graphing Utilities 


985  (1) 

B.1 The Viewing Rectangle 


985  (2) 

B.2 Using a Graphing Utility to Graph Equations 


987  (4) 

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


991  (3) 

B.4 Using a Graphing Utility to Solve Equations 


994  (1) 


995  (1) 

B.6 Using a Graphing Utility to Graph Inequalities 


996  (2) 

B.7 Using a Graphing Utility to Solve Systems of Linear Equations 


998  (1) 

B.8 Using a Graphing Utility to Graph a Polar Equation 


999  (1) 

B.9 Using a Graphing Utility to Graph Parametric Equations 


1000  
Answers 

1  (1) 
Index 

1  