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Precalculus: Functions & Graphs (study guide)

ISBN: 9780534352646 | 0534352642
Edition: 8th
Format: Paperback
Publisher: Brooks Cole
Pub. Date: 3/31/1998

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Table of Contents
Topics from Algebra
1(40)
Real Numbers
1(2)
Exponents and Radicals
... MORE(2)
Algebraic Expressions
5(5)
Equations
10(7)
Complex Numbers
17(1)
Inequalities
18(4)
Rectangular Coordinate Systems
22(8)
Lines
30(11)
Review Exercises
33(6)
Discussion Exercises
39(2)
Functions
41(34)
Definition of Function
41(6)
Graphs of Functions
47(7)
Quadratic Functions
54(6)
Operations on Functions
60(6)
Inverse Functions
66(9)
Review Exercises
68(5)
Discussion Exercises
73(2)
Polynomial and Rational Functions
75(36)
Polynomial Functions of Degree Greater Than 2
75(5)
Properties of Division
80(4)
Zeros of Polynomials
84(5)
Complex and Rational Zeros of Polynomials
89(5)
Rational Functions
94(17)
Review Exercises
105(4)
Discussion Exercises
109(2)
Exponential and Logarithmic Functions
111(28)
Exponential Functions
111(5)
The Natural Exponential Function
116(4)
Logarithmic Functions
120(5)
Properties of Logarithms
125(3)
Exponential and Logarithmic Equations
128(11)
Review Exercises
134(3)
Discussion Exercises
137(2)
The Trigonometric Functions
139(48)
Angles
139(2)
Trigonometric Functions of Angles
141(5)
Trigonometric Functions of Real Numbers
146(8)
Values of the Trigonometric Functions
154(3)
Trigonometric Graphs
157(10)
Additional Trigonometric Graphs
167(7)
Applied Problems
174(13)
Review Exercises
179(7)
Discussion Exercises
186(1)
Analytic Trigonometry
187(36)
Verifying Trigonometric Identities
187(4)
Trigonometric Equations
191(5)
The Addition and Subtraction Formulas
196(4)
Multiple-Angle Formulas
200(5)
Product-to-Sum and Sum-to-Product Formulas
205(2)
The Inverse Trigonometric Functions
207(16)
Review Exercises
214(7)
Discussion Exercises
221(2)
Applications of Trigonometry
223(24)
The Law of Sines
223(2)
The Law of Cosines
225(3)
Trigonometric Form for Complex Numbers
228(3)
De Moivre's Theorem and nth Roots of Complex Numbers
231(2)
Vectors
233(4)
The Dot Product
237(10)
Review Exercises
239(5)
Discussion Exercises
244(3)
Systems of Equations and Inequalities
247(46)
Systems of Equations
247(4)
Systems of Linear Equations in Two Variables
251(4)
Systems of Linear Equations in More Than Two Variables
255(6)
Partial Fractions
261(3)
Systems of Inequalities
264(5)
Linear Programming
269(4)
The Algebra of Matrices
273(4)
The Inverse of a Matrix
277(3)
Determinants
280(2)
Properties of Determinants
282(11)
Review Exercises
285(6)
Discussion Exercises
291(2)
Sequences, Series, and Probability
293(32)
Infinite Sequences and Summation Notation
293(4)
Arithmetic Sequences
297(3)
Geometric Sequences
300(3)
Mathematical Induction
303(5)
The Binomial Theorem
308(3)
Permutations
311(1)
Distinguishable Permutations and Combinations
312(1)
Probability
313(12)
Review Exercises
317(5)
Discussion Exercises
322(3)
Topics from Analytic Geometry
325(39)
Parabolas
325(4)
Ellipses
329(4)
Hyperbolas
333(5)
Plane Curves and Parametric Equations
338(7)
Polar Coordinates
345(9)
Polar Equations of Conics
354(10)
Review Exercises
358(6)
Discussion Exercises
364

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