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Precalculus : Functions and Graphs

ISBN: 9780070063419 | 0070063419
Edition: 4th
Format: Hardcover
Publisher: McGraw-Hill Higher Education
Pub. Date: 7/30/1998

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Table of Contents
Prefaceix
Chapter Dependenciesxiv
To the Studentxv
Equations and Inequalities
1(96)
... MORE
Linear Equations and Applications
2(15)
Systems of Linear Equations and Applications
17(9)
Linear Inequalities
26(11)
Absolute Value in Equations and Inequalities
37(10)
Complex Numbers
47(11)
Quadratic Equations and Applications
58(15)
Equations Reducible to Quadratic Form
73(8)
Polynomial and Rational Inequalities
81(16)
Group Activity: Rates of Change
90(1)
Review
91(6)
Graphs and Functions
97(114)
Basic Tools; Circles
98(17)
Straight Lines
115(16)
Functions
131(16)
Graphing Functions
147(18)
Combining Functions
165(17)
Inverse Functions
182(29)
Group Activity: Mathematical Modeling in Business
198(2)
Review
200(7)
1 & 2 Cumulative Review Exercises
207(4)
Polynomial and Rational Functions
211(70)
Polynomial Functions and Graphs
213(12)
Finding Rational Zeros of Polynomials
225(13)
Approximating Real Zeros of Polynomials
238(12)
Rational Functions
250(15)
Partial Fractions
265(16)
Group Activity: Interpolating Polynomials
273(2)
Review
275(6)
Exponential and Logarithmic Functions
281(58)
Exponential Functions
282(11)
The Exponential Function with Base e
293(11)
Logarithmic Functions
304(9)
Common and Natural Logarithms
313(10)
Exponential and Logarithmic Equations
323(16)
Group Activity: Growth of Increasing Functions
333(1)
Review
333(3)
3 & 4 Cumulative Review Exercises
336(3)
Trigonometric Functions
339(112)
The Wrapping Function
340(8)
Circular Functions
348(9)
Angles and Their Measure
357(9)
Trigonometric Functions
366(17)
Solving Right Triangles
383(8)
Graphing Basic Trigonometric Functions
391(12)
Graphing y = k + A sin (Bx + C) and y = k + A cos (Bx + C)
403(16)
Graphing More General Tangent, Cotangent, Secant, and Cosecant Functions
419(8)
Inverse Trigonometric Functions
427(24)
Group Activity: A Predator-Prey Analysis Involving Mountain Lions and Deer
440(1)
Review
441(10)
Trigonometric Identities and Conditional Equations
451(54)
Basic Identities and Their Use
452(9)
Sum, Difference, and Cofunction Identities
461(10)
Double-Angle and Half-Angle Identities
471(9)
Product-Sum and Sum-Product Identities
480(5)
Trigonometric Equations
485(20)
Group Activity: From M sin Bt + N cos Bt to A sin (Bt + C)---A Harmonic Analysis Tool
497(2)
Review
499(6)
Additional Topics in Trigonometry
505(80)
Law of Sines
506(10)
Law of Cosines
516(8)
Geometric Vectors
524(7)
Algebraic Vectors
531(10)
Polar Coordinates and Graphs
541(14)
Complex Numbers in Rectangular and Polar Forms
555(8)
De Moivre's Theorem
563(22)
Group Activity: Conic Sections and Planetary Orbits
569(3)
Review
572(7)
5, 6, & 7 Cumulative Review Exercises
579(6)
Systems of Equations and Inequalities
585(74)
Systems of Linear Equations and Augmented Matrices
586(18)
Gauss-Jordan Elimination
604(14)
Systems Involving Second-Degree Equations
618(9)
Systems of Linear Inequalities in Two Variables
627(13)
Linear Programming
640(19)
Group Activity: Modeling with Systems of Equations
651(2)
Review
653(6)
Matrices and Determinants
659(64)
Matrices: Basic Operations
660(14)
Inverse of a Square Matrix
674(10)
Matrix Equations and Systems of Linear Equations
684(10)
Determinants
694(8)
Properties of Determinants
702(7)
Cramer's Rule
709(14)
Group Activity: Using Matrices to Find Cost, Revenue, and Profit
714(1)
Review
715(5)
8 & 9 Cumulative Review Exercises
720(3)
Sequences and Series
723(54)
Sequences and Series
724(8)
Mathematical Induction
732(8)
Arithmetic and Geometric Sequences
740(13)
Binomial Formula
753(8)
Multiplication Principle, Permutations, and Combinations
761(16)
Group Activity: Sequences Specified by Recursion Formulas
773(1)
Review
773(4)
Additional Topics in Analytic Geometry
777
Conic Sections; Parabola
778(10)
Ellipse
788(11)
Hyperbola
799(12)
Translation of Axes
811(10)
Parametric Equations
821
Group Activity: Focal Chords
828(1)
Review
829(6)
10 & 11 Cumulative Review Exercises
835
Appendix A Basic Algebraic Operations1(72)
A-1 Algebra and Real Numbers
2(10)
A-2 Polynomials: Basic Operations
12(11)
A-3 Polynomials: Factoring
23(10)
A-4 Rational Expressions: Basic Operations
33(9)
A-5 Integer Exponents
42(9)
A-6 Rational Exponents
51(6)
A-7 Radicals
57(16)
Appendix A Group Activity: Rational Number Representations
67(1)
Appendix A Review
67(6)
Appendix B Significant Digits73(3)
Appendix C Geometric Formulas76(3)
Answers79
Applications Index1(2)
Subject Index3

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