
Rectangular Coordinates, Functions, and Analysis of Linear Functions 


1  (120) 

Real Numbers, Logic, and Coordinate System 


2  (10) 

Introduction to Relations and Functions 


12  (14) 


26  (18) 

Equations of Lines and Geometric Considerations 


44  (15) 

Solution of Linear Equations; Analytic Method and Graphical Support 


59  (13) 

Solution of Linear Inequalities; Analytic Method and Graphical Support 


72  (12) 


84  (11) 

Other Applications of Linear Functions 


95  (26) 


110  (2) 


112  (5) 


117  (2) 

Project Modeling the Growth of the World's Tallest man 


119  (2) 

Analysis of Graphs of Functions 


121  (82) 

Graphs of Elementary Functions and Relations 


122  (14) 

Vertical and Horizontal Shifts of Graphs of Functions 


136  (12) 

Stretching, Shrinking, and Reflecting Graphs of Functions 


148  (11) 

The Absolute Value Function: Graphs, Equations, Inequalities, and Applications 


159  (14) 

Piecewise Defined Functions 


173  (9) 

Further Topics in the Study of Functions 


182  (21) 


195  (1) 


196  (3) 


199  (1) 

Project Modeling a Trip from One Point to Another, Using a Piecewise Defined Function 


200  (3) 


203  (112) 


204  (7) 

Quadratic Functions and Their Graphs 


211  (12) 

Solution of Quadratic Equations and Inequalities 


223  (15) 

Applications of Quadratic Functions and Models 


238  (13) 

Higher Degree Polynomial Functions and Their Graphs 


251  (17) 

Topics in the Theory of Polynomial Functions (I) 


268  (11) 

Topics in the Theory of Polynomial Functions (II) 


279  (9) 

Solution of Polynomial Equations and Inequalities and Their Applications 


288  (27) 


304  (3) 


307  (5) 


312  (1) 

Project Creating Your Personal Social Security Polynomial 


313  (2) 

Reational, Root, and Inverse Functions 


315  (80) 

Graphs of Rational Functions 


315  (18) 

Rational Equations, Inequalities, and Applications 


333  (15) 


348  (13) 

Root Equations, Inequalities, and Applications 


361  (12) 


373  (22) 


386  (2) 


388  (3) 


391  (1) 

Project How Rugged is Your Coastline? 


392  (3) 

Exponential and Logarithmic Functions 


395  (71) 

Introduction to Exponential Functions 


396  (12) 

Logarithms and Their Properties 


408  (11) 

Introduction to Logarithmic Functions 


419  (11) 

Exponential and Logarithmic Equations and Inequalities 


430  (11) 

Applications and Modeling with Exponential and Logarithmic Functions 


441  (25) 


457  (3) 


460  (3) 


463  (1) 

Project California's Prison Population 


464  (2) 

The Conic Sections and Parametric Equations 


466  (50) 


467  (14) 


481  (13) 

Summary of the Conic Sections 


494  (10) 


504  (12) 


509  (2) 


511  (2) 


513  (1) 

Project Modeling the Path of a Bouncing Ball, Using a Piecewise Defined Function 


514  (2) 

Matrices and Systems of Equations and Inequalities 


516  (93) 


517  (16) 

Solution of Linear Systems by the Echelon Method 


533  (9) 

Solution of Linear Systems by Row Transformations 


542  (11) 


553  (12) 

Determinants and Cramer's Rule 


565  (10) 

Solution of Linear Systems by Matrix Inverses 


575  (9) 

Systems of Inequalities and Linear Programming 


584  (10) 


594  (15) 


599  (2) 


601  (3) 


604  (2) 

Project Finding a Polynomial that Goes Through Any Number of Given Points Using a Matrix 


606  (3) 

Further Topics in Algebra 


609  (65) 


610  (8) 

Arithmetic Sequences and Series 


618  (8) 

Geometric Sequences and Series 


626  (9) 


635  (7) 


642  (6) 


648  (9) 


657  (17) 


665  (4) 


669  (2) 


671  (1) 

Project Using Experimental Probabilities to Simulate the Makeup of a Family 


671  (3) 

Reference: Basic Algebraic Concepts 


674  (1) 

Review of Rules for Exponents and Operations with Polynomials 


674  (6) 


680  (6) 

Review of Operations with Rational Expressions 


686  (7) 

Review of Negative and Rational Exponents 


693  (7) 


700  
Answers to Selected Exercises 

A1  
Index of Applications 

I1  
Index 

I5  