Precalculus: Functions and Graphs

by BARNETT

• ISBN13: 9780072368710
• ISBN10: 0072368713
• Edition: 5th
• Format: Hardcover
• Copyright: 2000-09-28
• Publisher: McGraw-Hill Science/Engineering/Math

Table of Contents

Preface	p. ix
Chapter Dependencies	p. xx
To the Student	p. xxiv
Equations and Inequalities	p. 1
Linear Equations and Applications	p. 2
Systems of Linear Equations and Applications	p. 17
Linear Inequalities	p. 26
Absolute Value in Equations and Inequalities	p. 37
Complex Numbers	p. 47
Quadratic Equations and Applications	p. 58
Equations Reducible to Quadratic Form	p. 73
Polynomial and Rational Inequalities	p. 81
Chapter 1 Group Activity: Rates of Change	p. 90
Chapter 1 Review	p. 91
Graphs and Functions	p. 97
Basic Tools; Circles	p. 98
Straight Lines	p. 115
Functions	p. 131
Graphing Functions	p. 147
Combining Functions	p. 165
Inverse Functions	p. 182
Chapter 2 Group Activity: Mathematical Modeling in Business	p. 198
Chapter 2 Review	p. 200
1 and 2 Cumulative Review Exercise	p. 207
Polynomial and Rational Functions	p. 211
Polynomial Functions and Graphs	p. 213
Finding Rational Zeros of Polynomials	p. 225
Approximating Real Zeros of Polynomials	p. 238
Rational Functions	p. 250
Partial Fractions	p. 265
Chapter 3 Group Activity: Interpolating Polynomials	p. 273
Chapter 3 Review	p. 275
Exponential and Logarithmic Functions	p. 281
Exponential Functions	p. 282
The Exponential Function with Base e	p. 293
Logarithmic Functions	p. 304
Common and Natural Logarithms	p. 313
Exponential and Logarithmic Equations	p. 323
Chapter 4 Group Activity: Growth of Increasing Functions	p. 333
Chapter 4 Review	p. 333
3 and 4 Cumulative Review Exercise	p. 336
Trigonometric Functions	p. 339
The Wrapping Function	p. 340
Circular Functions	p. 348
Angles and Their Measure	p. 357
Trigonometric Functions	p. 366
Solving Right Triangles	p. 383
Graphing Basic Trigonometric Functions	p. 391
Graphing y = k + A sin (Bx + C) and y = k + A cos (Bx + C)	p. 403
Graphing More General Tangent, Cotangent, Secant, and Cosecant Functions	p. 419
Inverse Trigonometric Functions	p. 427
Chapter 5 Group Activity: A Predator-Prey Analysis Involving Mountain Lions and Deer	p. 440
Chapter 5 Review	p. 441
Trigonometric Identities and Conditional Equations	p. 451
Basic Identities and Their Use	p. 452
Sum, Difference, and Cofunction Identities	p. 461
Double-Angle and Half-Angle Identities	p. 471
Product-Sum and Sum-Product Identities	p. 480
Trigonometric Equations	p. 485
Chapter 6 Group Activity: From M sin Bt + N cos Bt to A sin (Bt + C)--A Harmonic Analysis Tool	p. 497
Chapter 6 Review	p. 499
Additional Topics in Trigonometry	p. 505
Law of Sines	p. 506
Law of Cosines	p. 516
Geometric Vectors	p. 524
Algebraic Vectors	p. 531
Polar Coordinates and Graphs	p. 541
Complex Numbers in Rectangular and Polar Forms	p. 555
De Moivre's Theorem	p. 563
Chapter 7 Group Activity: Conic Sections and Planetary Orbits	p. 569
Chapter 7 Review	p. 572
5, 6, and 7 Cumulative Review Exercise	p. 579
Systems of Equations and Inequalities	p. 585
Systems of Linear Equations and Augmented Matrices	p. 586
Gauss--Jordan Elimination	p. 604
Systems Involving Second-Degree Equations	p. 618
Systems of Linear Inequalities in Two Variables	p. 627
Linear Programming	p. 640
Chapter 8 Group Activity: Modeling with Systems of Equations	p. 651
Chapter 8 Review	p. 653
Matrices and Determinants	p. 659
Matrices: Basic Operations	p. 660
Inverse of a Square Matrix	p. 674
Matrix Equations and Systems of Linear Equations	p. 684
Determinants	p. 694
Properties of Determinants	p. 702
Cramer's Rule	p. 709
Chapter 9 Group Activity: Using Matrices to Find Cost, Revenue, and Profit	p. 714
Chapter 9 Review	p. 715
8 and 9 Cumulative Review Exercise	p. 720
Sequences and Series	p. 723
Sequences and Series	p. 724
Mathematical Induction	p. 732
Arithmetic and Geometric Sequences	p. 740
Binomial Formula	p. 753
Multiplication Principle, Permutations, and Combinations	p. 761
Chapter 10 Group Activity: Sequences Specified by Recursion Formulas	p. 773
Chapter 10 Review	p. 773
Additional Topics in Analytic Geometry	p. 777
Conic Sections; Parabola	p. 778
Ellipse	p. 788
Hyperbola	p. 799
Translation of Axes	p. 811
Parametric Equations	p. 821
Chapter 11 Group Activity: Focal Chords	p. 828
Chapter 11 Review	p. 829
10 and 11 Cumulative Review Exercise	p. 835
Basic Algebraic Operations	p. 1
Algebra and Real Numbers	p. 2
Polynomials: Basic Operations	p. 12
Polynomials: Factoring	p. 23
Rational Expressions: Basic Operations	p. 33
Integer Exponents	p. 42
Rational Exponents	p. 51
Radicals	p. 57
Appendix A Group Activity: Rational Number Representations	p. 67
Appendix A Review	p. 67
Significant Digits	p. 73
Geometric Formulas	p. 76
Answers	p. 79
Applications Index	p. 1
Subject Index	p. 3
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