Stewart SOLUTIONS MANUAL
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CONTENTS
¥ PROLOGUE:PrinciplesofProblemSolving 1 sy s y s y
CHAPTER P
s y PREREQUISITES 3
P.1 ModelingtheRealWorldwithAlgebra 3 sy sy s y s y
P.2 RealNumbers 4
sy s y s y
P.3 Integer Exponents andScientificNotation
sy sy sy sy 9
P.4 RationalExponentsandRadicals 14 s y s y
P.5 AlgebraicExpressions 18 s y
P.6 Factoring 22 s y
P.7 RationalExpressions 27 s y
P.8 SolvingBasicEquations 34 s y s y
P.9 ModelingwithEquations 39 s y s y
ChapterPReview 45 sy s y s y
ChapterPTest 51 s y
¥ FOCUSONMODELING:MakingtheBestDecisions 54
CHAPTER 1
s y EQUATIONS AND GRAPHS S Y S Y
57
1.1 TheCoordinatePlane 57 s y s y
1.2 GraphsofEquationsinTwoVariables;Circles
sy sy sy sy sy sy 65
1.3 Lines 79 s y
1.4 SolvingQuadraticEquations 90 s y
1.5 ComplexNumbers 98 s y
1.6 SolvingOtherTypesofEquations 101 s y s y
1.7 SolvingInequalities 110 sy s y s y
1.8 Solving Absolute Value Equations and Inequalities
s y s y sy s y s y 129
1.9 Solving Equations andInequalitiesGraphically
sy sy sy sy 131
,1.10 ModelingVariation 139
sy s y
Chapter1Review 143
sy sy s y s y
Chapter1Test 161 s y
iii
,
, iv Contents
¥ FOCUSON MODELING: Fitting Linesto Data
sy sy sy sy sy 165
CHAPTER 2 s y FUNCTIONS 169
2.1 Functions 169 s y
2.2 GraphsofFunctions 178 s y s y
2.3 GettingInformationfromtheGraphofaFunction s y s y 190
2.4 AverageRateofChangeofaFunction sy s y s y 201
2.5 LinearFunctionsandModels 206 s y s y
2.6 TransformationsofFunctions 212 s y
2.7 CombiningFunctions 226 s y s y
2.8 One-to-OneFunctionsandTheirInverses sy sy sy 234
Chapter2Review 243
sy sy s y s y
Chapter2Test 255 s y
¥ FOCUSONMODELING:ModelingwithFunctions s y s y 259
CHAPTER 3 s y POLYNOMIAL AND RATIONAL FUNCTIONS S Y S Y S Y
267
3.1 QuadraticFunctionsandModels
sy sy 267
3.2 Polynomial Functions andTheirGraphssy sy sy sy 276
3.3 DividingPolynomials 291 s y s y
3.4 RealZerosofPolynomials 301 s y s y
3.5 ComplexZerosandtheFundamentalTheoremofAlgebra 334
3.6 RationalFunctions 344 s y s y
Chapter3Review 377
sy sy s y s y
Chapter3Test 395 s y
¥ FOCUSONMODELING:FittingPolynomialCurvestoData 398
CHAPTER 4 s y EXPONENTIALAND LOGARITHMICFUNCTIONS SY SY
401
4.1 ExponentialFunctions 401 s y
4.2 TheNaturalExponentialFunction 409 s y
4.3 LogarithmicFunctions 414 s y
4.4 LawsofLogarithms
sy sy 422
4.5 ExponentialandLogarithmicEquations 426 s y