Preface 

vii  


xii  
Index of Applications 

xvi  



Real Numbers and Their Properties 


1  (15) 


16  (13) 

Rational Exponents and Radicals 


29  (13) 


42  (12) 


54  (11) 


65  (18) 


76  (2) 


78  (2) 


80  (3) 

Equations and Inequalities 




83  (11) 


94  (15) 


109  (8) 


117  (15) 

Linear and Absolute Value Inequalities 


132  (13) 

Quadratic and Rational Inequalities 


145  (18) 


156  (2) 


158  (3) 


161  (1) 


161  (2) 



The Cartesian Coordinate System 


163  (13) 


176  (15) 

Graphs of Relations and Functions 


191  (16) 

Transformations and Symmetry of Graphs 


207  (15) 

Operations with Functions 


222  (12) 


234  (13) 


247  (16) 


255  (2) 


257  (3) 


260  (1) 


261  (2) 

Polynomial and Rational Functions 




263  (16) 


279  (12) 

Zeros of Polynomial Functions 


291  (12) 


303  (10) 


313  (14) 

Graphs of Polynomial Functions 


327  (12) 

Graphs of Rational Functions 


339  (22) 


353  (2) 


355  (3) 


358  (1) 


359  (2) 

Exponential and Logarithmic Functions 




361  (16) 


377  (12) 


389  (13) 

More Equations and Applications 


402  (19) 


414  (1) 


415  (2) 


417  (1) 


418  (3) 

The Trigonometric Functions 



Angles and Their Measurements 


421  (17) 

The Sine and Cosine Functions 


438  (14) 

The Graphs of the Sine and Cosine Functions 


452  (16) 

The Other Trigonometric Functions and Their Graphs 


468  (12) 

The Inverse Trigonometric Functions 


480  (11) 

Right Triangle Trigonometry 


491  (22) 


505  (2) 


507  (3) 


510  (1) 


511  (2) 

Trigonometric Identities and Conditional Equations 




513  (9) 


522  (8) 

Sum and Difference Identities 


530  (10) 

DoubleAngle and HalfAngle Identities 


540  (9) 

Product and Sum Identities 


549  (10) 


559  (20) 


574  (1) 


575  (1) 


576  (1) 


577  (2) 

Applications of Trigonometry 




579  (12) 


591  (11) 


602  (13) 

Trigonometric Form of Complex Numbers 


615  (7) 

Powers and Roots of Complex Numbers 


622  (6) 


628  (10) 


638  (13) 


643  (2) 


645  (2) 


647  (1) 


648  (3) 

Systems of Equations and Inequalities 



Systems of Linear Equations in Two Variables 


651  (13) 

Systems of Linear Equations in Three Variables 


664  (12) 

Nonlinear Systems of Equations 


676  (9) 


685  (8) 

Inequalities and Systems of Inequalities in Two Variables 


693  (9) 


702  (13) 


710  (1) 


711  (1) 


712  (1) 


713  (2) 

Matrices and Determinants 



Solving Linear Systems Using Matrices 


715  (15) 


730  (7) 

Multiplication of Matrices 


737  (8) 


745  (12) 

Solution of Linear Systems in Two Variables Using Determinants 


757  (6) 

Solution of Linear Systems in Three Variables Using Determinants 


763  (16) 


773  (2) 


775  (1) 


776  (1) 


777  (2) 




779  (11) 

The Ellipse and the Circle 


790  (14) 


804  (17) 


816  (1) 


817  (2) 


819  (1) 


819  (2) 

Sequences, Series, and Probability 




821  (11) 


832  (8) 

Geometric Sequences and Series 


840  (13) 

Counting and Permutations 


853  (7) 

Combinations, Labeling, and the Binomial Theorem 


860  (11) 


871  (12) 


883  (6) 


889  (2) 


891  (2) 


893  
Answers to Oddnumbered Exercises 

A1  
Index 

I1  