Introduction to Graphs and the Graphing Calculator 

1  (13) 
Basic Concepts of Algebra 



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 Equations: 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) 

The Trigonometric Functions 



Trigonometric Functions of Acute Angles 


360  (11) 

Applications of Right Triangles 


371  (9) 

Trigonometric Functions of Any Angle 


380  (15) 

Radians, Arc Length, and Angular Speed 


395  (14) 

Circular Functions: Graphs and Properties 


409  (17) 

Graphs of Transformed Sine and Cosine Functions 


426  (20) 


440  (6) 

Trigonometric Identities, Inverse Functions, and Equations 



Identities: Pythagorean and Sum and Difference 


446  (13) 

Identities: Cofunction, DoubleAngle, and HalfAngle 


459  (9) 

Proving Trigonometric Identities 


468  (6) 

Inverses of the Trigonometric Functions 


474  (11) 

Solving Trigonometric Equations 


485  (17) 


497  (5) 

Applications of Trigonometry 




502  (12) 


514  (9) 

Complex Numbers: Trigonometric Form 


523  (12) 

Polar Coordinates and Graphs 


535  (8) 


543  (8) 


551  (21) 


565  (7) 

Systems of Equations and Matrices 



Systems of Equations in Two Variables 


572  (11) 

Systems of Equations in Three Variables 


583  (9) 

Matrices and Systems of Equations 


592  (8) 


600  (11) 


611  (6) 

Systems of Inequalities and Linear Programming 


617  (10) 


627  (13) 


633  (7) 




640  (8) 

The Circle and the Ellipse 


648  (9) 


657  (10) 

Nonlinear Systems of Equations 


667  (15) 


677  (5) 

Sequences, Series, and Combinatorics 




682  (9) 

Arithmetic Sequences and Series 


691  (9) 

Geometric Sequences and Series 


700  (10) 


710  (6) 

Combinatorics: Permutations 


716  (9) 

Combinatorics: Combinations 


725  (8) 


733  (8) 


741  (14) 


751  (4) 
Appendixes 


A Descartes' Rule of Signs 


755  (2) 

B Determinants and Cramer's Rule 


757  (8) 


765  
Answers 

1  (1) 
Index 

1  (12) 
Index of Applications 

13  