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A Graphical Approach to College Algebra,9780321028471

A Graphical Approach to College Algebra

by ;
Edition:
2nd
ISBN13:

9780321028471

ISBN10:
0321028473
Format:
Hardcover
Pub. Date:
8/1/1998
Publisher(s):
Pearson College Div
List Price: $98.00

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Summary

This major revision reflects the authors combined years of experience as classroom teachers, and underscores their enthusiasm for the use of the graphing calculator as a teaching tool. Their approach is to present the various classes of functions, examine the nature of its graph, and discuss the analytic solution of equations based on that function. Then, graphical support for the solution is provided with a graphing calculator. Using graphing technology to study math has opened up a new area of error analysis, so the authors have included a What Went Wrong feature to discuss typical errors. Throughout, the accent is on using both analytical and graphical methods to solve interesting applications for various functions. The new edition also includes a reference chapter on basic algebraic concepts for those needing a refresher course.

Table of Contents

Rectangular Coordinates, Functions, and Analysis of Linear Functions
1(120)
Real Numbers, Logic, and Coordinate System
2(10)
Introduction to Relations and Functions
12(14)
Linear Functions
26(18)
Equations of Lines and Geometric Considerations
44(15)
Solution of Linear Equations; Analytic Method and Graphical Support
59(13)
Solution of Linear Inequalities; Analytic Method and Graphical Support
72(12)
Linear Models
84(11)
Other Applications of Linear Functions
95(26)
Summary
110(2)
Review Exercises
112(5)
Test
117(2)
Project Modeling the Growth of the World's Tallest man
119(2)
Analysis of Graphs of Functions
121(82)
Graphs of Elementary Functions and Relations
122(14)
Vertical and Horizontal Shifts of Graphs of Functions
136(12)
Stretching, Shrinking, and Reflecting Graphs of Functions
148(11)
The Absolute Value Function: Graphs, Equations, Inequalities, and Applications
159(14)
Piecewise Defined Functions
173(9)
Further Topics in the Study of Functions
182(21)
Summary
195(1)
Review Exercises
196(3)
Test
199(1)
Project Modeling a Trip from One Point to Another, Using a Piecewise Defined Function
200(3)
Polynomial Functions
203(112)
Complex Numbers
204(7)
Quadratic Functions and Their Graphs
211(12)
Solution of Quadratic Equations and Inequalities
223(15)
Applications of Quadratic Functions and Models
238(13)
Higher Degree Polynomial Functions and Their Graphs
251(17)
Topics in the Theory of Polynomial Functions (I)
268(11)
Topics in the Theory of Polynomial Functions (II)
279(9)
Solution of Polynomial Equations and Inequalities and Their Applications
288(27)
Summary
304(3)
Review Exercises
307(5)
Test
312(1)
Project Creating Your Personal Social Security Polynomial
313(2)
Reational, Root, and Inverse Functions
315(80)
Graphs of Rational Functions
315(18)
Rational Equations, Inequalities, and Applications
333(15)
Graphs of Root Functions
348(13)
Root Equations, Inequalities, and Applications
361(12)
Inverse Functions
373(22)
Summary
386(2)
Review Exercises
388(3)
Test
391(1)
Project How Rugged is Your Coastline?
392(3)
Exponential and Logarithmic Functions
395(71)
Introduction to Exponential Functions
396(12)
Logarithms and Their Properties
408(11)
Introduction to Logarithmic Functions
419(11)
Exponential and Logarithmic Equations and Inequalities
430(11)
Applications and Modeling with Exponential and Logarithmic Functions
441(25)
Summary
457(3)
Review Exercises
460(3)
Test
463(1)
Project California's Prison Population
464(2)
The Conic Sections and Parametric Equations
466(50)
Circles and Parabolas
467(14)
Ellipses and Hyperbolas
481(13)
Summary of the Conic Sections
494(10)
Parametric Equations
504(12)
Summary
509(2)
Review Exercises
511(2)
Test
513(1)
Project Modeling the Path of a Bouncing Ball, Using a Piecewise Defined Function
514(2)
Matrices and Systems of Equations and Inequalities
516(93)
Systems of Equations
517(16)
Solution of Linear Systems by the Echelon Method
533(9)
Solution of Linear Systems by Row Transformations
542(11)
Properties of Matrices
553(12)
Determinants and Cramer's Rule
565(10)
Solution of Linear Systems by Matrix Inverses
575(9)
Systems of Inequalities and Linear Programming
584(10)
Partial Fractions
594(15)
Summary
599(2)
Review Exercises
601(3)
Test
604(2)
Project Finding a Polynomial that Goes Through Any Number of Given Points Using a Matrix
606(3)
Further Topics in Algebra
609(65)
Sequences and Series
610(8)
Arithmetic Sequences and Series
618(8)
Geometric Sequences and Series
626(9)
The Binomial Theorem
635(7)
Mathematical Induction
642(6)
Counting Theory
648(9)
Probability
657(17)
Summary
665(4)
Review Exercises
669(2)
Test
671(1)
Project Using Experimental Probabilities to Simulate the Makeup of a Family
671(3)
Reference: Basic Algebraic Concepts
674(1)
Review of Rules for Exponents and Operations with Polynomials
674(6)
Review of Factoring
680(6)
Review of Operations with Rational Expressions
686(7)
Review of Negative and Rational Exponents
693(7)
Review of Radicals
700
Answers to Selected Exercises A-1
Index of Applications I-1
Index I-5


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