Introduction to Graphs and the Graphing Calculator 

1  (13) 
Basic Concepts of Algebra R 



14  (6) 

Integer Exponents, Scientific Notation, and Order of Operations 


20  (8) 

Addition, Subtraction, and Multiplication of Polynomials 


28  (4) 


32  (5) 


37  (8) 

Radical Notation and Rational Exponents 


45  (9) 

The Basics of Equation Solving 


54  (10) 


59  (5) 

Graphs, Functions, and Models 



Functions, Graphs, and Graphers 


64  (14) 

Linear Functions, Slope, and Applications 


78  (18) 

Modeling: Data Analysis Curve Fitting, and Linear Regression 


96  (10) 


106  (16) 

Symmetry and Transformations 


122  (16) 

Variation and Applications 


138  (9) 

Distance, Midpoints, and Circles 


147  (13) 


153  (7) 

Functions and Equation: Zeros and Solutions 



Zeros of Linear Functions and Models 


160  (11) 


171  (7) 

Zeros of Quadratic Functions and Models 


178  (13) 

Analyzing Graphs of Quadratic Functions 


191  (11) 

Modeling: Data Analysis, Curve Fitting, and Quadratic Regression 


202  (6) 

Zeros and More Equation Solving 


208  (6) 


214  (10) 


219  (5) 

Polynomial and Rational Functions 



Polynomial Functions and Modeling 


224  (13) 

Polynomial Division; The Remainder and Factor Theorems 


237  (9) 

Theorems about Zeros of Polynomial Functions 


246  (8) 


254  (16) 

Polynomial and Rational Inequalities 


270  (12) 


278  (4) 

Exponential and Logarithmic Functions 



Composite and Inverse Functions 


282  (15) 

Exponential Functions and Graphs 


297  (13) 

Logarithmic Functions and Graphs 


310  (14) 

Properties of Logarithmic Functions 


324  (9) 

Solving Exponential and Logarithmic Equations 


333  (8) 

Applications and Models: Growth and Decay 


341  (19) 


356  (4) 

Systems of Equations and Matrices 



Systems of Equations in Two Variables 


360  (11) 

Systems of Equations in Three Variables 


371  (9) 

Matrices and Systems of Equations 


380  (8) 


388  (11) 


399  (6) 

Systems of Inequalities and Linear Programming 


405  (10) 


415  (13) 


421  (7) 




428  (8) 

The Circle and the Ellipse 


436  (9) 


445  (10) 

Nonlinear Systems of Equations 


455  (15) 


465  (5) 

Sequences, Series, and Combinatorics 




470  (9) 

Arithmetic Sequences and Series 


479  (9) 

Geometric Sequences and Series 


488  (10) 


498  (6) 

Combinatorics: Permutations 


504  (9) 

Combinatorics: Combinations 


513  (8) 


521  (8) 


529  (14) 


539  (4) 
Appendixes 


A Descartes' Rule of Signs 


543  (2) 

B Determinants and Cramer's Rule 


545  (8) 


553  
Answers 

1  (1) 
Index 

1  (10) 
Index of Applications 

11  