9780321057778

Precalculus Through Modeling and Visualization

by ; ;
  • ISBN13:

    9780321057778

  • ISBN10:

    0321057775

  • Format: Hardcover
  • Copyright: 8/1/1999
  • Publisher: Pearson College Div
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Table of Contents

Preface ix
Introduction to Functions and Graphs
1(100)
Data, Numbers, and Algorithms
2(12)
Visualization of Data
14(12)
Checking Basic Concepts for Sections 1.1 and 1.2
26(1)
Functions and Their Representations
26(17)
Types of Functions and Their Rates of Change
43(20)
Checking Basic Concepts for Sections 1.3 and 1.4
63(1)
Modeling Data with Functions
63(13)
Transformations of Graphs
76(25)
Checking Basic Concepts for Sections 1.5 and 1.6
95(1)
Summary
95(1)
Review Exercises
96(3)
Extended and Discovery Exercises
99(2)
Linear Functions and Equations
101(81)
Linear Equations
102(14)
Linear Inequalities
116(15)
Checking Basic Concepts for Sections 2.1 and 2.2
131(1)
Equations of Lines
131(16)
Piecewise-Defined Functions
147(16)
Checking Basic Concepts for Sections 2.3 and 2.4
163(1)
Linear Approximation
163(19)
Checking Basic Concepts for Section 2.5
176(1)
Summary
176(1)
Review Exercises
177(3)
Extended and Discovery Exercises
180(2)
Nonlinear Functions and Equations
182(114)
Quadratic Equations and Inequalities
183(17)
Nonlinear Functions and Their Graphs
200(19)
Checking Basic Concepts for Sections 3.1 and 3.2
219(1)
Polynomial Functions and Their Graphs
219(20)
Real Zeros of Polynomial Functions
239(16)
Checking Basic Concepts for Sections 3.3 and 3.4
255(1)
The Fundamental Theorem of Algebra
255(13)
Rational Functions
268(28)
Checking Basic Concepts for Sections 3.5 and 3.6
288(1)
Summary
289(1)
Review Exercises
290(3)
Extended and Discovery Exercises
293(3)
Inverse Functions
296(90)
Combining Functions
297(17)
Inverse Functions and Their Representations
314(17)
Checking Basic Concepts for Sections 4.1 and 4.2
331(1)
Exponential Functions
331(16)
Logarithmic Functions
347(19)
Checking Basic Concepts for Sections 4.3 and 4.4
366(1)
Exponential and Logarithmic Equations
366(20)
Checking Basic Concepts for Section 4.5
379(1)
Summary
380(1)
Review Exercises
380(4)
Extended and Discovery Exercises
384(2)
Trigonometric Functions
386(105)
Angles and their Measure
387(15)
Right Triangle Trigonometry
402(15)
Checking Basic Concepts for Sections 5.1 and 5.2
417(1)
The Sine and Cosine Functions and Their Graphs
417(17)
Other Trigonometric Functions and Their Graphs
434(16)
Checking Basic Concepts for Sections 5.3 and 5.4
450(1)
Modeling with Trigonometric Functions
450(18)
Inverse Trigonometric Functions
468(23)
Checking Basic Concepts for Sections 5.5 and 5.6
484(1)
Summary
485(1)
Review Exercises
486(3)
Extended and Discovery Exercises
489(2)
Trigonometric Identities and Equations
491(71)
Fundamental Identities
492(14)
Verifying Identities
506(10)
Checking Basic Concepts for Sections 6.1 and 6.2
516(1)
Trigonometric Equations
516(14)
Sum and Difference Identities
530(12)
Checking Basic Concepts for Sections 6.3 and 6.4
542(1)
Multiple-Angle Identities
542(20)
Checking Basic Concepts for Section 6.5
557(1)
Summary
557(1)
Review Exercises
558(2)
Extended and Discovery Exercises
560(2)
Further Topics in Trigonometry
562(72)
Law of Sines
563(11)
Law of Cosines
574(10)
Checking Basic Concepts for Sections 7.1 and 7.2
584(1)
Vectors
584(16)
Parametric Equations
600(8)
Checking Basic Concepts for Sections 7.3 and 7.4
608(1)
Polar Equations
608(10)
Trigonometric Form and Roots of Complex Numbers
618(16)
Checking Basic Concepts for Sections 7.5 and 7.6
628(1)
Summary
628(1)
Review Exercises
629(3)
Extended and Discovery Exercises
632(2)
Systems of Equations and Inequalities
634(94)
Functions and Equations of More than One Variable
635(14)
Linear Systems of Equations and Inequalities in Two Variables
649(19)
Checking Basic Concepts for Sections 8.1 and 8.2
668(1)
Solutions of Linear Systems Using Matrices
668(14)
Properties and Applications of Matrices
682(15)
Checking Basic Concepts for Sections 8.3 and 8.4
697(1)
Inverses of Matrices
697(13)
Determinants
710(18)
Checking Basic Concepts for Sections 8.5 and 8.6
720(1)
Summary
721(1)
Review Exercises
721(4)
Extended and Discovery Exercises
725(3)
Further Topics in Algebra
728(80)
Sequences
729(14)
Series
743(14)
Checking Basic Concepts for Sections 9.1 and 9.2
757(1)
Conic Sections
757(23)
Checking Basic Concepts for Section 9.3
779(1)
Counting
780(12)
Probability
792(16)
Checking Basic Concepts for Sections 9.4 and 9.5
803(1)
Summary
804(1)
Review Exercises
805(2)
Extended and Discovery Exercises
807(1)
Bibliography 808
Answers to Selected Exercises A-1(1)
Index of Applications I-1(1)
Index I-7

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