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College Algebra: Graphs and Models with Graphing Calculator Manual

ISBN: 9780201709865 | 0201709864
Edition: 2nd
Format: Package
Publisher: Addison Wesley
Pub. Date: 1/1/2001

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SummaryTable of Contents
This text was written with the goal of having students succeed in this course, and gain a foundation to succeed in further mathematics courses. To that end, the authors have written a text with a theme (showing the connections between the zeros, x-intercepts, and solutions), with a series of side-by-side features (designed to show examples being solved algebraically and graphically), and with the knowledge that many students are using graphing technology to help them learn the key concepts in this course (and so the book automatically comes bun... MORE
Introduction to Graphs and the Graphing Calculator1(13)
Basic Concepts of Algebra R
The Real-Number System
14(6)
Integer Exponents, Scientific Notation, and Order of... MORE
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 Equation: 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)
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)
Matrix Operations
388(11)
Inverses of Matrices
399(6)
Systems of Inequalities and Linear Programming
405(10)
Partial Fractions
415(13)
Summary and Review
421(7)
Conic Sections
The Parabola
428(8)
The Circle and the Ellipse
436(9)
The Hyperbola
445(10)
Nonlinear Systems of Equations
455(15)
Summary and Review
465(5)
Sequences, Series, and Combinatorics
Sequences and Series
470(9)
Arithmetic Sequences and Series
479(9)
Geometric Sequences and Series
488(10)
Mathematical Induction
498(6)
Combinatorics: Permutations
504(9)
Combinatorics: Combinations
513(8)
The Binomial Theorem
521(8)
Probability
529(14)
Summary and Review
539(4)
Appendixes
A Descartes' Rule of Signs
543(2)
B Determinants and Cramer's Rule
545(8)
C Parametric Equations
553
Answers1(1)
Index1(10)
Index of Applications11

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