Introduction to Graphs and Graphers 

1  (19) 
R Basic Concepts of Algebra 



20  (5) 

Integer Exponents, Scientific Notation, and Order of Operations 


25  (7) 

Addition, Subtraction, and Multiplication of Polynomials 


32  (4) 


36  (4) 


40  (9) 

Radical Notation and Rational Exponents 


49  (9) 


58  (8) 


66  (6) 

Modeling and Applications 


72  (12) 


79  (5) 

Graphs, Functions, and Models 



Functions, Graphs, and Graphers 


84  (14) 

Functions and Applications 


98  (13) 

Linear Functions and Applications 


111  (16) 

Data Analysis, Curve Fitting, and Linear Regression 


127  (8) 

Distance, Midpoints, and Circles 


135  (5) 


140  (7) 

Transformations of Functions 


147  (11) 


158  (14) 


167  (5) 

Polynomial and Rational Functions 



Introduction to Polynomial Functions and Complex Numbers 


172  (8) 

Quadratic Equations and Functions 


180  (16) 

Polynomial Models and Curve Fitting 


196  (12) 

Polynomial Division; The Remainder and Factor Theorems 


208  (7) 

Theorems about Zeros of Polynomial Functions 


215  (9) 


224  (14) 

Polynomial and Rational Inequalities 


238  (12) 


245  (5) 

Exponential and Logarithmic Functions 




250  (11) 

Exponential Functions and Graphs 


261  (13) 

Logarithmic Functions and Graphs 


274  (13) 

Properties of Logarithmic Functions 


287  (9) 

Solving Exponetial and Logarithmic Equations 


296  (7) 

Applications and Models: Growth and Decay 


303  (19) 


318  (4) 



Systems of Equations in Two Variables 


322  (10) 

Systems of Equations in Three or More Variables 


332  (8) 

Matrices and Systems of Equations 


340  (8) 


348  (12) 


360  (6) 

Systems of Inequalities and Linear Programming 


366  (11) 


377  (13) 


385  (5) 




390  (8) 

The Circle and the Ellipse 


398  (10) 


408  (9) 

Nonlinear Sytems of Equations 


417  (13) 


425  (5) 

Sequences, Series, and Combinatorics 




430  (11) 

Arithmetic Sequences and Series 


441  (10) 

Geometric Sequences and Series 


451  (11) 


462  (7) 

Combinatorics: Permutations 


469  (10) 

Combinatorics: Combinations 


479  (7) 


486  (9) 


495  (14) 


505  (4) 
Appendixes 

509  (1) 

A Determinants and Cramer's Rule 


509  (7) 


516  
Ansers 

A1  (1) 
Index of Applications 

I1  (1) 
Index 

I5  