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