Preface 

ix  
To the Student 

xix  


1  (70) 


2  (10) 


12  (7) 


19  (7) 


26  (6) 


32  (13) 


45  (11) 


56  (13) 


65  (1) 

Chapter 1 Review Exercises 


66  (3) 

Case 1 Consumers Often Defy Common Sense 


69  (2) 

Graphs, Lines, and Inequalities 


71  (58) 


72  (11) 


83  (13) 


96  (11) 


107  (8) 

Polynomial and Rational Inequalities 


115  (11) 


122  (1) 

Chapter 2 Review Exercises 


123  (3) 

Case 2 Using Extrapolation to Predict Life Expectancy 


126  (3) 


129  (75) 


130  (9) 


139  (12) 

Applications of Linear Functions 


151  (12) 


163  (8) 

Applications of Quadratic Functions 


171  (8) 


179  (9) 


188  (15) 


198  (1) 

Chapter 3 Review Exercises 


199  (4) 

Case 3 Architectural Arches 


203  (1) 

Exponential and Logarithmic Functions 


204  (45) 


205  (10) 

Applications of Exponential Functions 


215  (7) 


222  (10) 

Logarithmic and Exponential Equations 


232  (15) 


242  (1) 

Chapter 4 Review Exercises 


243  (4) 

Case 4 Characteristics of the Monkeyface Prickleback 


247  (2) 


249  (46) 

Simple Interest and Discount 


250  (6) 


256  (12) 

Future Value of an Annuity and Sinking Funds 


268  (10) 

Present Value of an Annuity and Amortization 


278  (15) 


287  (2) 

Chapter 5 Review Exercises 


289  (4) 

Case 5 Time, Money, and Polynomials 


293  (2) 

Systems of Linear Equations and Matrices 


295  (72) 

Systems of Linear Equations 


296  (18) 


314  (11) 


325  (8) 

Matrix Products and Inverses 


333  (14) 


347  (18) 


360  (1) 

Chapter 6 Review Exercises 


361  (4) 

Case 6 Matrix Operations and Airline Route Maps 


365  (2) 


367  (74) 

Graphing Linear Inequalities in Two Variables 


368  (8) 

Linear Programming: The Graphical Method 


376  (8) 

Applications of Linear Programming 


384  (7) 

The Simplex Method: Maximization 


391  (14) 

Maximization Applications 


405  (6) 

The Simplex Method: Duality and Minimization 


411  (11) 

The Simplex Method: Nonstandard Problems 


422  (17) 


435  (1) 

Chapter 7 Review Exercises 


436  (3) 

Case 7 Cooking with Linear Programming 


439  (2) 


441  (68) 


442  (9) 

Applications of Venn Diagrams 


451  (10) 

Introduction to Probability 


461  (8) 

Basic Concepts of Probability 


469  (11) 

Conditional Probability and Independent Events 


480  (14) 


494  (13) 


501  (1) 

Chapter 8 Review Exercises 


502  (5) 


507  (2) 

Counting, Probability Distributions, and Further Topics in Probability 


509  (62) 

Probability Distributions and Expected Value 


510  (11) 

The Multiplication Principle, Permutations, and Combinations 


521  (14) 


535  (6) 


541  (7) 


548  (13) 


561  (8) 


565  (1) 

Chapter 9 Review Exercises 


566  (3) 

Case 9 Optimal Inventory for a Service Truck 


569  (2) 

Introduction to Statistics 


571  (52) 

Frequency Distributions and Measures of Central Tendency 


572  (14) 


586  (10) 


596  (14) 

Normal Approximation to the Binomial Distribution 


610  (10) 


617  (1) 

Chapter 10 Review Exercises 


618  (2) 

Case 10 Statistics in the LawThe Castaneda Decision 


620  (3) 


623  (294) 


624  (12) 

Onesided Limits and Limits Involving Infinity 


636  (11) 


647  (13) 

Tangent Lines and Derivatives 


660  (257) 

Appendix A Graphing Calculators 


917  (2) 


919  

Table 1: Formulas from Geometry 


919  (1) 

Table 2: Areas under the Normal Curve 


920  (2) 


922  
Answers to Selected Exercises 

1  (1) 
Index of Applications 

1  (8) 
Index 

9  