9780201616736

Algebra and Trigonometry : Graphs and Models

by ; ; ;
  • ISBN13:

    9780201616736

  • ISBN10:

    0201616734

  • Edition: 2nd
  • Format: Hardcover
  • Copyright: 8/1/2001
  • Publisher: Addison-Wesley

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Supplemental Materials

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Table of Contents

Introduction to Graphs and the Graphing Calculator 1(13)
Basic Concepts of Algebra
The Real-Number System
14(6)
Integer Exponents, Scientific Notation, and Order of Operations
20(8)
Addition, Subtraction, and Multiplication of Polynomials
28(4)
Factoring
32(5)
Rational Expressions
37(8)
Radical Notation and Rational Exponents
45(9)
The Basics of Equation Solving
54(10)
Summary and Review
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)
More on Functions
106(16)
Symmetry and Transformations
122(16)
Variation and Applications
138(9)
Distance, Midpoints, and Circles
147(13)
Summary and Review
153(7)
Functions and Equations: Zeros and Solutions
Zeros of linear Functions and Models
160(11)
The Complex Numbers
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)
Solving Inequalities
214(10)
Summary and Review
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)
Rational Functions
254(16)
Polynomial and Rational Inequalities
270(12)
Summary and Review
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)
Summary and Review
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)
Summary and Review
440(6)
Trigonometric Identities, Inverse Functions, and Equations
Identities: Pythagorean and Sum and Difference
446(13)
Identities: Cofunction, Double-Angle, and Half-Angle
459(9)
Proving Trigonometric Identities
468(6)
Inverses of the Trigonometric Functions
474(11)
Solving Trigonometric Equations
485(17)
Summary and Review
497(5)
Applications of Trigonometry
The Law of Sines
502(12)
The Law of Cosines
514(9)
Complex Numbers: Trigonometric Form
523(12)
Polar Coordinates and Graphs
535(8)
Vectors and Applications
543(8)
Vector Operations
551(21)
Summary and Review
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)
Matrix Operations
600(11)
Inverses of Matrices
611(6)
Systems of Inequalities and Linear Programming
617(10)
Partial Fractions
627(13)
Summary and Review
633(7)
Conic Sections
The Parabola
640(8)
The Circle and the Ellipse
648(9)
The Hyperbola
657(10)
Nonlinear Systems of Equations
667(15)
Summary and Review
677(5)
Sequences, Series, and Combinatorics
Sequences and Series
682(9)
Arithmetic Sequences and Series
691(9)
Geometric Sequences and Series
700(10)
Mathematical Induction
710(6)
Combinatorics: Permutations
716(9)
Combinatorics: Combinations
725(8)
The Binomial Theorem
733(8)
Probability
741(14)
Summary and Review
751(4)
Appendixes
A Descartes' Rule of Signs
755(2)
B Determinants and Cramer's Rule
757(8)
C Parametric Equations
765
Answers 1(1)
Index 1(12)
Index of Applications 13

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