Preface to the Instructor 

xiii  


xix  
Photo Credits 

xxiii  
To the Student 

xxiv  

Foundations: A Prelude To Functions 


1  (38) 

The Distance and Midpoint Formulas 


2  (6) 

Graphs of Equations in Two Variables; Intercepts; Symmetry 


8  (10) 


18  (15) 


33  (6) 

Functions and Their Graphs 


39  (74) 


40  (14) 


54  (9) 


63  (12) 

Library of Functions; Piecewisedefined Functions 


75  (10) 

Graphing Techniques: Transformations 


85  (12) 

Mathematical Models: Constructing Functions 


97  (16) 


105  (6) 


111  (1) 


112  (1) 

Linear and Quadratic Functions 


113  (68) 

Properties of Linear Functions 


114  (11) 

Building Linear Functions from Data: Direct Variation 


125  (8) 

Quadratic Functions and Their Zeros 


133  (11) 

Properties of Quadratic Functions 


144  (10) 

Inequalities Involving Quadratic Functions 


154  (4) 


158  (9) 

Complex Zeros of a Quadratic Function 


167  (3) 

Equations and Inequalities Involving the Absolute Value Function 


170  (11) 


175  (4) 


179  (1) 


179  (1) 


180  (1) 

Polynomial and Rational Functions 


181  (82) 

Polynomial Functions and Models 


182  (21) 

Properties of Rational Functions 


203  (10) 

The Graph of a Rational Function; Inverse and Joint Variation 


213  (18) 

Polynomial and Rational Inequalities 


231  (5) 

The Real Zeros of a Polynomial Function 


236  (14) 

Complex Zeros: Fundamental Theorem of Algebra 


250  (13) 


256  (3) 


259  (1) 


260  (1) 


261  (2) 

Exponential and Logarithmic Functions 


263  (98) 


264  (7) 

OnetoOne Functions: Inverse Functions 


271  (13) 


284  (16) 


300  (12) 


312  (8) 

Logarithmic and Exponential Equations 


320  (5) 


325  (9) 

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


334  (11) 

Building Exponential, Logarithmic, and Logistic Functions from Data 


345  (16) 


353  (6) 


359  (1) 


359  (1) 


360  (1) 


361  (38) 


362  (1) 


363  (9) 


372  (10) 


382  (17) 


394  (2) 


396  (1) 


396  (1) 


397  (2) 

Systems of Equations and Inequalities 


399  (96) 

Systems of Linear Equations: Substitution and Elimination 


400  (14) 

Systems of Linear Equations: Matrices 


414  (15) 

Systems of Linear Equations: Determinants 


429  (10) 


439  (16) 

Partial Fraction Decomposition 


455  (7) 

Systems of Nonlinear Equations 


462  (9) 


471  (8) 


479  (16) 


486  (5) 


491  (1) 


492  (1) 


493  (2) 

Sequences; Induction; The Binomial Theorem 


495  (40) 


496  (9) 


505  (5) 

Geometric Sequences; Geometric Series 


510  (11) 


521  (3) 


524  (11) 


531  (2) 


533  (1) 


534  (1) 


534  (1) 


535  


536  (5) 

Permutations and Combinations 


541  (10) 


551  


561  (3) 


564  (1) 


565  (1) 


565  


1  (1) 


1  (10) 


11  (8) 


19  (10) 


29  (9) 


38  (3) 


41  (11) 

nth Roots; Rational Exponents 


52  (8) 


60  (6) 

Interval Notation; Solving Inequalities 


66  (8) 

Problem Solving: Applications of Linear Equations 


74  (8) 


82  

Appendix B Graphing Utilities 


1  (1) 


1  (2) 

Using a Graphing Utility to Graph Equations 


3  (4) 

Using a Graphing Utility to Locate Intercepts and Check for Symmetry 


7  (2) 

Using a Graphing Utility to Solve Equations 


9  (2) 


11  (1) 

Using a Graphing Utility to Graph Inequalities 


12  (2) 

Using a Graphing Utility to Solve Systems of Linear Equations 


14  
Answers 

1  (1) 
Index 

1  