Preface 

xii  
To the Student 

xviii  


1  (54) 

Using Qualitative Graphs to Describe Situations 


1  (5) 

Sketching Graphs of Linear Equations 


6  (11) 


17  (9) 

Graphical, Numerical, and Symbolic Significance of Slope 


26  (10) 


36  (8) 


44  (11) 


51  (1) 

Key Points of This Chapter 


51  (1) 


52  (1) 


53  (2) 

Modeling with Linear Functions 


55  (48) 

Using Lines to Model Data 


55  (11) 

Finding Equations for Linear Models 


66  (9) 

Function Notation and Making Predictions 


75  (13) 

Slope Is a Rate of Change 


88  (15) 


96  (3) 


99  (1) 

Key Points of This Chapter 


99  (1) 


100  (2) 


102  (1) 

Systems of Linear Equations 


103  (43) 

Using Graphs to Solve Systems 


103  (10) 

Using Elimination and Substitution to Solve Systems 


113  (8) 

Using Systems to Model Data 


121  (8) 

Using Linear Inequalities in One Variable to Make Predictions 


129  (17) 


138  (1) 


139  (1) 

Key Points of This Chapter 


139  (1) 


140  (2) 


142  (1) 

Cumulative Review of Chapters 13 


143  (3) 


146  (56) 


146  (8) 


154  (9) 

Sketching Graphs of Exponential Functions 


163  (11) 

Finding Equations for Exponential Functions 


174  (7) 

Using Exponential Functions to Model Data 


181  (21) 


194  (3) 


197  (1) 

Key Points of This Chapter 


197  (2) 


199  (1) 


200  (2) 


202  (52) 


202  (11) 


213  (6) 


219  (6) 

Using the Power Property with Exponential Models to Make Predictions 


225  (8) 

More Properties of Logarithms 


233  (6) 


239  (15) 


246  (1) 


247  (1) 

Key Points of This Chapter 


247  (2) 


249  (1) 


250  (1) 

Cumulative Review of Chapters 15 


251  (3) 


254  (53) 

Sketching Graphs of Quadratic Functions in Vertex Form 


254  (9) 

Expanding and Factoring Polynomials 


263  (9) 

Factoring Quadratic Polynomials 


272  (7) 


279  (5) 

Using Factoring to Solve Polynomial Equations 


284  (11) 

Sketching Graphs of Quadratic Functions in Standard Form 


295  (12) 


303  (1) 

Key Points of This Chapter 


303  (1) 


304  (1) 


305  (2) 

Using Quadratic Functions to Model Data 


307  (50) 

Solving Quadratic Equations by Extracting Square Roots 


307  (7) 

Solving Quadratic Equations by Completing the Square 


314  (5) 

Solving Quadratic Equations by Using the Quadratic Formula 


319  (8) 

Solving Systems of Three Linear Equations to Find Quadratic Functions 


327  (5) 

Solving Systems of Three Linear Equations to Find Quadratic Models 


332  (6) 

Modeling with Quadratic Functions 


338  (19) 


348  (3) 


351  (1) 

Key Points of This Chapter 


351  (1) 


352  (2) 


354  (1) 

Cumulative Review of Chapters 17 


354  (3) 


357  (71) 

Finding the Domains of Rational Functions and Simplifying Rational Expressions 


357  (9) 

Multiplying and Dividing Rational Expressions 


366  (6) 

Adding and Subtracting Rational Expressions 


372  (10) 

Simplifying Complex Rational Expressions 


382  (8) 

Solving Rational Equations 


390  (7) 

Modeling with Rational Functions 


397  (10) 


407  (21) 


419  (3) 


422  (1) 

Key Points of This Chapter 


422  (2) 


424  (2) 


426  (2) 


428  (48) 

Simplifying Radical Expressions 


428  (7) 

Adding, Subtracting, and Multiplying Radical Expressions 


435  (7) 

Rationalizing Denominators and Simplifying Quotients of Radical Expressions 


442  (7) 

Sketching Graphs and Combining Square Root Functions 


449  (7) 

Solving Square Root Equations 


456  (7) 

Modeling with Square Root Functions 


463  (13) 


471  (1) 


472  (1) 

Key Points of This Chapter 


472  (2) 


474  (1) 


475  (1) 

Modeling with Sequences and Series 


476  (33) 


476  (7) 


483  (7) 


490  (6) 


496  (13) 


501  (3) 


504  (1) 

Key Points of This Chapter 


504  (1) 


504  (1) 


505  (1) 

Cumulative Review of Chapters 110 


506  (3) 


509  (50) 

Absolute Value Equations and Inequalities 


509  (5) 

Inequalities in Two Variables 


514  (6) 

Factoring Sums and Differences of Cubes 


520  (3) 


523  (6) 

Interest and Revenue Applications 


529  (10) 

Pythagorean Theorem, Distance Formula, and Circles 


539  (6) 


545  (8) 

Solving Nonlinear Systems of Equations 


553  (6) 

A REVIEWING PREREQUISITE MATERIAL 


559  (8) 


559  (1) 


559  (1) 


560  (1) 

Performing Arithmetic with Signed Numbers 


560  (1) 

Constants, Variables, Expressions, and Equations 


561  (1) 


562  (1) 


562  (1) 

Reviewing Order of Operations 


562  (1) 

Solving Linear Equations in One Variable 


563  (1) 

Solving Literal Equations in Two Variables 


564  (1) 

Equivalent Expressions and Equivalent Equations 


565  (2) 

B USING A TI82 OR TI83 GRAPHING CALCULATOR 


567  (13) 

Turning Your Graphing Calculator On and Off 


567  (1) 

Making Your Screen Lighter or Darker 


567  (1) 


567  (1) 


568  (1) 

Tracing a Function Without a Scattergram 


568  (1) 


568  (1) 

Setting the Window Format 


569  (1) 

Plotting Points for a Scattergram 


569  (1) 


570  (1) 

Graphing Functions with a Scattergram 


570  (1) 

Tracing a Function with a Scattergram 


571  (1) 

Turning a Plotter ``On'' or ``Off'' 


571  (1) 


571  (1) 

Creating a Table for Two Functions 


572  (1) 


572  (1) 

Finding a Regression Curve for Some Data 


572  (1) 

Plotting Points for Two Scattergrams 


573  (1) 

Finding the Intersection Point(s) of Two Curves 


574  (1) 

Finding the Minimum or Maximum of a Curve 


575  (1) 


575  (1) 


575  (1) 

Turning a Function ``On'' or ``Off'' 


576  (1) 

Finding Coordinates of Points 


576  (1) 

Graphing Functions with Axes ``Turned Off'' 


577  (1) 

Entering a Function Using Yn References 


577  (1) 

Responding to Error Messages 


577  (3) 

C COMPARING TI82/83/85/86 CALCULATOR COMMANDS 


580  (1) 
Answers to OddNumbered Exercises 

581  (46) 
Index 

627  