A Word from the Authors (Preface) 

viii  
Textbook Features and Highlights 

xi  


1  (76) 

Review of Real Numbers and Their Properties 


2  (10) 


12  (12) 

Polynomials and Special Products 


24  (9) 


33  (8) 


41  (10) 

Errors and the Algebra of Calculus 


51  (7) 

The Rectangular Coordinate System and Graphs 


58  (19) 


69  (1) 


70  (3) 


73  (1) 


74  (1) 


75  (2) 

Equations, Inequalities, and Mathematical Modeling 


77  (96) 


78  (11) 

Linear Equations in One Variable 


89  (9) 

Modeling with Linear Equations 


98  (12) 

Quadratic Equations and Applications 


110  (16) 


126  (7) 


133  (11) 

Linear Inequalities in One Variable 


144  (10) 

Other Types of Inequalities 


154  (19) 


164  (1) 


165  (4) 


169  (1) 


170  (1) 


171  (2) 

Functions and Their Graphs 


173  (90) 

Linear Equations in Two Variables 


174  (15) 


189  (14) 

Analyzing Graphs of Functions 


203  (12) 

A Library of Parent Functions 


215  (8) 

Transformations of Functions 


223  (10) 

Combinations of Functions: Composite Functions 


233  (9) 


242  (21) 


252  (1) 


253  (4) 


257  (1) 

Cumulative Test: Chapters P2 


258  (2) 


260  (1) 


261  (2) 


263  (72) 

Quadratic Functions and Models 


264  (11) 

Polynomial Functions of Higher Degree 


275  (14) 

Polynomial and Synthetic Division 


289  (9) 

Zeros of Polynomial Functions 


298  (15) 

Mathematical Modeling and Variation 


313  (22) 


325  (1) 


326  (4) 


330  (1) 


331  (2) 


333  (2) 

Rational Functions and Conics 


335  (48) 

Rational Functions and Asymptotes 


336  (9) 

Graphs of Rational Functions 


345  (9) 


354  (13) 


367  (16) 


375  (1) 


376  (3) 


379  (1) 


380  (1) 


381  (2) 

Exponential and Logarithmic Functions 


383  (64) 

Exponential Functions and Their Graphs 


384  (11) 

Logarithmic Functions and Their Graphs 


395  (10) 


405  (7) 

Exponential and Logarithmic Equations 


412  (11) 

Exponential and Logarithmic Models 


423  (24) 


436  (1) 


437  (4) 


441  (1) 

Cumulative Test: Chapters 35 


442  (2) 


444  (1) 


445  (2) 


447  (88) 


448  (12) 

Right Triangle Trigonometry 


460  (11) 

Trigonometric Functions of Any Angle 


471  (12) 

Graphs of Sine and Cosine Functions 


483  (11) 

Graphs of Other Trigonometric Functions 


494  (11) 

Inverse Trigonometric Functions 


505  (10) 


515  (20) 


526  (1) 


527  (4) 


531  (1) 


532  (1) 


533  (2) 


535  (56) 

Using Fundamental Identities 


536  (8) 

Verifying Trigonometric Identities 


544  (7) 

Solving Trigonometric Equations 


551  (11) 

Sum and Difference Formulas 


562  (7) 

MultipleAngle and ProducttoSum Formulas 


569  (22) 


581  (1) 


582  (3) 


585  (1) 


586  (3) 


589  (2) 

Additional Topics in Trigonometry 


591  (66) 


592  (9) 


601  (8) 


609  (13) 


622  (10) 

Trigonometric Form of a Complex Number 


632  (25) 


643  (1) 


644  (4) 


648  (1) 

Cumulative Test: Chapters 68 


649  (2) 


651  (4) 


655  (2) 

Systems of Equations and Inequalities 


657  (76) 

Linear and Nonlinear Systems of Equations 


658  (11) 

TwoVariable Linear Systems 


669  (12) 

Multivariable Linear Systems 


681  (14) 


695  (8) 


703  (11) 


714  (19) 


724  (1) 


725  (4) 


729  (1) 


730  (1) 


731  (2) 

Matrices and Determinants 


733  (70) 

Matrices and Systems of Equations 


734  (15) 


749  (15) 

The Inverse of a Square Matrix 


764  (9) 

The Determinant of a Square Matrix 


773  (8) 

Applications of Matrices and Determinants 


781  (22) 


793  (1) 


794  (5) 


799  (1) 


800  (1) 


801  (2) 

Sequences, Series, and Probability 


803  


804  

Arithmetic Sequences and Partial Sums 


815  

Geometric Sequences and Series 


825  


835  


845  


853  


863  


876  


877  


881  

Cumulative Test: Chapters 911 


882  


884  


887  

Answers to OddNumbered Exercises and Tests 


1  (32) 


133  

Index of Applications (Web: college.hmco.com) 



Appendix A Concepts in Statistics (Web: college.hmco.com) 





Measures of Central Tendency and Dispersion 



