Precalculus: Functions & GraphsPrecalculus: Functions & Graphs provides a complete and self-contained presentation of the basic mathematical techniques and ideas required for the successful completion of a calculus course. The book emphasizes the learning and understanding of the concept of a function, using function notation, and being able to sketch graphs of functions with ease. The text employs a number of pedagogic devices that have been proven effective in teaching college mathematics. The mathematical concepts are presented in a style that is informal, supportive, and "user-friendly". Progress checks, warnings, and features are inserted. Every chapter contains a summary, including terms and symbols with appr This textbook is intended for college students. |
Contents
| 1 | |
CHAPTER 2 FUNCTIONS AND GRAPHS | 57 |
CHAPTER 3 ROOTS OF POLYNOMIALS | 129 |
CHAPTER 4 EXPONENTIAL AND LOGARITHMIC FUNCTIONS | 169 |
THE CIRCULAR FUNCTIONS | 211 |
CHAPTER 6 ANGLES AND TRIANGLES | 263 |
CHAPTER 7 ANALYTIC TRIGONOMETRY | 299 |
CHAPTER 8 COMPLEX NUMBERS AND THE FUNDAMENTAL THEOREM OF ALGEBRA | 333 |
CHAPTER 10 SYSTEMS OF EQUATIONS AND INEQUALITIES | 419 |
CHAPTER 11 SEQUENCES AND SERIES | 493 |
APPLICATIONS | 531 |
LIMITS A PREVIEW OF CALCULUS | 539 |
TABLES APPENDIX | 549 |
ANSWERS TO ODDNUMBERED EXERCISES AND TO REVIEW EXERCISES AND PROGRESS TESTS | 1 |
SOLUTIONS TO SELECTED REVIEW EXERCISES | 65 |
| 93 | |
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Common terms and phrases
algebraic ANSWER arithmetic sequence augmented matrix axis calculator called completing the square complex number cosine cost curve defined degree denote determine distance domain ellipse Evaluate EXERCISE SET exponential exponents expression factor foci formula function f Gaussian elimination geometric sequence given equation graph of f(x hyperbola identity integer inverse law of sines linear system loga logarithms mathematical induction multiplication natural numbers negative nth root number system obtain origin parabola polar coordinates polynomial P(x positive Problems PROGRESS CHECK Find PROGRESS CHECK Solve PROGRESS TEST Property quadrant quadratic equation radians radius rational number Rational Root Theorem rational roots real coefficients real number line real roots rectangular coordinates right triangle shown in Figure side sine sketch the graph slope solution set Step Substituting symmetry synthetic division Tables Appendix term trigonometric functions unit circle variable verify vertex write x-axis x-intercepts y-axis zero