Preface 

xiii  


1  (48) 

Using Qualitative Graphs to Describe Situations 


1  (5) 

Sketching Graphs of Linear Equations 


6  (9) 


15  (8) 

Graphical, Numerical, and Symbolic Significance of Slope 


23  (9) 


32  (6) 


38  (11) 


44  (1) 


45  (1) 

Key Points of This Chapter 


45  (1) 


46  (2) 


48  (1) 

Modeling with Linear Functions 


49  (40) 

Using Lines to Model Data 


49  (8) 

Finding Equations for Linear Models 


57  (8) 

Function Notation and Making Predictions 


65  (11) 

Slope is a Rate of Change 


76  (13) 


82  (4) 


86  (1) 

Key Points of This Chapter 


86  (1) 


87  (1) 


88  (1) 

Systems of Linear Equations 


89  (42) 

Using Graphs to Solve Systems 


89  (11) 

Using Elimination and Substitution to Solve Systems 


100  (7) 

Using Systems to Model Data 


107  (8) 

Using Linear Inequalities in One Variable to Make Predictions 


115  (16) 


124  (2) 


126  (1) 

Key Points of This Chapter 


126  (1) 


127  (1) 


128  (1) 

Cumulative Review of Chapters 13 


129  (2) 


131  (52) 


131  (7) 


138  (10) 

Sketching Graphs of Exponential Functions 


148  (10) 

Finding Equations for Exponential Models 


158  (6) 

Using Exponential Functions to Model Data 


164  (19) 


174  (4) 


178  (1) 

Key Points of This Chapter 


178  (1) 


179  (2) 


181  (2) 

Logarithmic Functions and Inverse Functions of Linear Functions 


183  (42) 

Finding Inverse Functions of Linear Functions 


183  (9) 


192  (8) 


200  (5) 

Using the Power Property with Exponential Models to Make Predictions 


205  (8) 

More Properties of Logarithms 


213  (12) 


219  (1) 


220  (1) 

Key Points of This Chapter 


220  (1) 


221  (1) 


222  (1) 

Cumulative Review of Chapters 15 


223  (2) 


225  (46) 

Sketching Graphs of Functions in Vertex Form 


225  (9) 

Expanding and Factoring Quadratic Expressions 


234  (7) 

Factoring Quadratic Expressions 


241  (6) 

Using Factoring to Solve Quadratic Equations 


247  (11) 

Sketching Graphs of Quadratic Functions in Standard Form 


258  (13) 


266  (1) 

Key Points of This Chapter 


266  (1) 


267  (1) 


268  (3) 

Using Quadratic Functions to Model Data 


271  (52) 

Solving Quadratic Equations by Extracting Square Roots 


271  (7) 

Solving Quadratic Equations by Completing the Square 


278  (6) 

Solving Quadratic Equations by Using the Quadratic Formula 


284  (8) 

Solving Systems of Three Linear Equations to Find Quadratic Functions 


292  (5) 

Solving Systems of Three Linear Equations to Find Quadratic Models 


297  (7) 

Modeling with Quadratic Functions 


304  (19) 


313  (5) 


318  (1) 

Key Points of This Chapter 


318  (1) 


319  (2) 


321  (1) 

Cumulative Review of Chapters 17 


321  (2) 

Polynomials and Rational Functions 


323  (62) 

Factoring Sums and Differences of Cubes and Factoring by Grouping 


323  (7) 

Finding the Domains of Rational Functions and Simplifying Rational Expressions 


330  (9) 

Multiplying and Dividing Rational Expressions 


339  (6) 

Adding and Subtracting Rational Expressions 


345  (9) 

Simplifying Complex Rational Expressions 


354  (5) 

Solving Rational Equations 


359  (7) 

Modeling with Rational Functions 


366  (19) 


376  (3) 


379  (1) 

Key Points of This Chapter 


379  (1) 


380  (2) 


382  (3) 


385  (48) 

Simplifying Radical Expressions 


385  (7) 

Adding, Subtracting, and Multiplying Radical Expressions 


392  (8) 

Rationalizing Denominators and Simplifying Quotients of Radical Expressions 


400  (6) 

Sketching Graphs and Combining Square Root Functions 


406  (7) 

Solving Square Root Equations 


413  (6) 

Modeling Using Square Root Functions 


419  (14) 


427  (2) 


429  (1) 

Key Points of This Chapter 


429  (1) 


430  (1) 


431  (2) 

Modeling with Sequences and Series 


433  (34) 


433  (8) 


441  (7) 


448  (6) 


454  (13) 


459  (3) 


462  (1) 

Key Points of This Chapter 


462  (1) 


462  (1) 


463  (1) 

Cumulative Review of Chapters 110 


464  (3) 


467  (46) 

Absolute Value Equations and Inequalities 


467  (5) 

Inequalities in Two Variables 


472  (7) 


479  (5) 


484  (7) 

Pythagorean Theorem, Distance Formula, and Circles 


491  (7) 


498  (8) 

Solving Nonlinear Systems of Equations 


506  (7) 
A Reviewing Prerequisite Material 

513  (8) 


513  (1) 

A.2 Identifying Real Numbers 


513  (1) 

A.3 Performing Arithmetic with Signed Numbers 


514  (1) 

A.4 Constants, Variables, Expressions, and Equations 


515  (1) 

A.5 Using Distributive Laws 


516  (1) 


516  (1) 

A.7 Reviewing Order of Operations 


516  (1) 

A.8 Solving Linear Equations 


517  (1) 

A.9 Solving Literal Equations in Two Variables 


518  (1) 

A.10 Equivalent Expressions and Equivalent Equations 


519  (2) 
B Using a TI82 or TI83 Graphing Calculator 

521  (14) 

B.1 Turning Your Graphing Calculator On and Off 


521  (1) 

B.2 Making Your Screen Lighter or Darker 


521  (1) 


521  (1) 


522  (1) 

B.5 Tracing a Function without a Scattergram 


522  (1) 


522  (1) 

B.7 Setting the Window Format 


523  (1) 

B.8 Plotting Points for a Scattergram 


524  (1) 

B.9 Tracing a Scattergram 


524  (1) 

B.10 Graphing Functions with a Scattergram 


525  (1) 

B.11 Tracing a Function with a Scattergram 


525  (1) 

B.12 Turning a Plotter ``On'' or ``Off'' 


525  (1) 


525  (1) 

B.14 Creating a Table for Two Functions 


526  (1) 

B.15 Using ``Ask'' in a Table 


526  (1) 

B.16 Finding the Regression Curve for Some Data 


527  (1) 

B.17 Plotting Points for Two Scattergrams 


528  (1) 

B.18 Finding the Intersection Point(s) of Two Curves 


529  (1) 

B.19 Finding the Minimum or Maximum of a Curve 


530  (1) 


530  (1) 


530  (1) 

B.22 Turning a Function ``On'' or ``Off'' 


531  (1) 

B.23 Finding Coordinates of Points 


531  (1) 

B.24 Graphing Functions with Axes ``Turned Off'' 


531  (1) 

B.25 Entering a Function using Yn references 


532  (1) 

B.26 Responding to Error Messages 


532  (3) 
C Comparing TI82/83/85/86 Calculator Commands 

535  (2) 
Answers to OddNumbered Exercises 

537  (36) 
Index 

573  