Edition Stewart
:
CONTENTS
¥ PROLOGUE: PrinciplesofProblemSolving 1
CHAPTER PREREQUISITES 3
P
P.1 ModelingtheReal Worldwith Algebra 3
P.2 Real Numbers 4
P.3 Integer Exponents and Scientific Notation 9
P.4 RationalExponentsandRadicals 14
P.5 AlgebraicExpressions 18
P.6 Factoring 22
P.7 RationalExpressions 27
P.8 SolvingBasicEquations 34
P.9 ModelingwithEquations 39
Chapter PReview 45
ChapterPTest 51
¥ FOCUSONMODELING:MaḳingtheBestDecis 54
ions
CHAPTER EQUATIONS AND GRAPHS 57
1
1.1 TheCoordinatePlane 57
1.2 Graphs of Equations in Two Variables; Circles 65
1.3 Lines 79
1.4 SolvingQuadraticEquations 90
1.5 ComplexNumbers 98
1.6 SolvingOtherTypesofEquations 101
1.7 Solving Inequalities 110
1.8 Solving Absolute Value Equations and 129
Inequalities
1.9 Solving Equations and Inequalities Graphically
, 131
1.10 Modeling Variation 139
Chapter 1 Review 143
Chapter1Test 161
iii
,
, iv Contents
¥ FOCUS ON MODELING: Fitting Linesto Data
165
CHAPTER 2 169
FUNCTIONS
2.1 Functions 169
2.2 GraphsofFunctions 178
2.3 GettingInformationfromtheGraphofaFunction
190
2.4 AverageRateof ChangeofaFunction 201
2.5 LinearFunctionsandModels 206
2.6 TransformationsofFunctions 212
2.7 CombiningFunctions 226
2.8 One-to-One Functions andTheir Inverses 234
Chapter 2 Review 243
Chapter2Test 255
¥ FOCUSONMODELING:ModelingwithFunctions
259
CHAPTER POLYNOMIAL AND RATIONAL 267
3 FUNCTIONS
3.1 Quadratic Functionsand Models 267
3.2 Polynomial Functions and Their Graphs 276
3.3 DividingPolynomials 291
3.4 RealẒerosofPolynomials 301
3.5 ComplexẒerosandtheFundamentalTheoremofAlgeb 334
ra
3.6 RationalFunctions 344
Chapter 3 Review 377
Chapter3Test 395
¥ FOCUSONMODELING:FittingPolynomialCurvest 398
oData
CHAPTER EXPONENTIALAND LOGARITHMIC 401
4 FUNCTIONS
4.1 ExponentialFunctions 401
4.2 TheNaturalExponentialFunction 409
4.3 LogarithmicFunctions 414
4.4 Laws of Logarithms 422
4.5 ExponentialandLogarithmicEquations 426