Preface 

vii  
To the Student 

xi  
Applications Index 

xix  

Prerequisites: Fundamental Concepts of Algebra 


1  (84) 

Real Numbers and Algebraic Expressions 


2  (11) 

Exponents and Scientific Notation 


13  (10) 

Radicals and Rational Exponents 


23  (12) 


35  (11) 


46  (8) 


54  (11) 


65  (6) 

Graphs and Graphing Utilities 


71  (14) 


81  (1) 

Review Exercises or Algebra Skills Diagnostic Test 


82  (2) 


84  (1) 

Equations, Inequalities, and Mathematical Models 


85  (82) 


86  (11) 

Formulas and Applications 


97  (12) 


109  (18) 


127  (12) 


139  (12) 

Quadratic and Rational Inequalities 


151  (16) 


162  (1) 


163  (2) 


165  (2) 


167  (91) 


168  (12) 

Parallel and Perpendicular Lines and Circles 


180  (10) 

Introduction to Functions 


190  (13) 


203  (18) 

Transformations and Combinations of Functions 


221  (17) 

Composite and Inverse Functions 


238  (20) 


250  (1) 


251  (4) 


255  (1) 

Cumulative Review Exercises 


256  (2) 

Polynomial and Rational Functions 


258  (92) 


259  (13) 

Polynomial functions and Their Graphs 


272  (1) 

Dividing Polynomials: Remainder and Factor Theorems 


273  (21) 

Zeros of Polynomial Functions 


294  (10) 

More on Zeros of Polynomial Functions 


304  (10) 

Rational Functions and Their Graphs 


314  (18) 


332  (18) 


344  (1) 


345  (3) 


348  (1) 

Cumulative Review Exercises 


349  (1) 

Exponential and Logarithmic Functions 


350  (65) 


351  (11) 


362  (13) 


375  (9) 

Exponential and Logarithmic Equations 


384  (11) 

Modeling with Exponential and Logarithmic Functions 


395  (20) 


408  (1) 


409  (4) 


413  (1) 

Cumulative Review Exercises 


414  (1) 

Systems of Equations and Inequalities 


415  (66) 

Systems of Linear Equations in Two Variables 


416  (14) 

Systems of Linear Equations in Three Variables 


430  (9) 


439  (9) 

Systems of Nonlinear Equations in Two Variables 


448  (9) 


457  (10) 


467  (14) 


476  (1) 


477  (3) 


480  (1) 

Cumulative Review Exercises 


480  (1) 

Matrices and Determinants 


481  (71) 

Matrix Solutions to Linear Systems 


482  (14) 

Inconsistent and Dependent Systems and Their Applications 


496  (9) 

Matrix Operations and Their Applications 


505  (14) 

Multiplicative Inverses of Matrices and Matrix Equations 


519  (15) 

Determinants and Cramer's Rule 


534  (18) 


547  (1) 


548  (2) 


550  (1) 

Cumulative Review Exercises 


551  (1) 


552  (47) 


553  (13) 


566  (16) 


582  (17) 


594  (1) 


595  (2) 


597  (1) 

Cumulative Review Exercises 


597  (2) 

Sequences, Induction, and Probability 


599  (1) 

Sequences and Summation Notation 


600  (11) 


611  (8) 


619  (14) 


633  (9) 


642  (8) 

Counting Principles, Permutations, and Combinations 


650  (11) 


661  (13) 


674  (1) 


675  (2) 


677  (1) 

Cumulative Review Exercises 


678  
Appendix Where Did That Come From? Selected Proofs 

A1  
Answers to Selected Exercises 

AA1  
Subject Index 

I1  
Photo Credits 

P1  