P.4 RationalExponentsandRadicals Q A Q A 14
P.5 AlgebraicExpressions Q A 18
P.6 Factoring 22 Q A
P.7 RationalExpressions Q A 27
P.8 SolvingBasicEquations Q A Q A 34
P.9 ModelingwithEquations Q A Q A 39
Chapter PReviewQA Q A Q A 45
ChapterPTest 51 Q A
¥ FOCUSONMODELING:MakingtheBestDecisions 54
CHAPTER Q A 1 EQUATIONS QA AND GRAPHS QA 57
1.1 TheCoordinatePlane 57 Q A Q A
1.2 Graphs of Equations in Two Variables; Circles 65
QA QA QA QA QA QA
1.3 Lines 79 Q A
1.4 SolvingQuadraticEquations Q A 90
1.5 ComplexNumbers Q A 98
1.6 SolvingOtherTypesofEquations Q A Q A 101
1.7 Solving Inequalities
QA Q A Q A 110
1.8 Solving Absolute Value Equations and Inequalitie 129
QA QA QA QA QA
s
1.9 Solving Equations and Inequalities Graphically 131
QA QA QA QA
1.10 Modeling Variation 139
QA Q A
Chapter 1 Review
QA QA Q A Q A 143
Chapter1Test 161 Q A
iii
,iv Contents
¥ FOCUS ON MODELING: Fitting Linesto Data 165
QA QA QA QA QA
CHAPTER Q A 2 FUNCTIONS 169
2.1 Functions 169 Q A
2.2 GraphsofFunctions Q A Q A 178
2.3 GettingInformationfromtheGraphofaFunction Q A Q A 190
2.4 AverageRateof ChangeofaFunction QA Q A Q A 201
2.5 LinearFunctionsandModels 206 Q A Q A
2.6 TransformationsofFunctions 212 Q A
2.7 CombiningFunctions 226 Q A Q A
2.8 One-to-One Functions andTheir Inverses
QA QA QA 234
Chapter 2 Review 243
QA QA Q A Q A
Chapter2Test 255 Q A
¥ FOCUSONMODELING:ModelingwithFunctions Q A Q A 259
CHAPTER Q A 3 POLYNOMIAL QA AND RATIONAL FUNCTIONS
QA QA 267
3.1 Quadratic Functionsand Models 267
QA QA
3.2 Polynomial Functions and Their Graphs 276
QA QA QA QA
3.3 DividingPolynomials Q A Q A 291
3.4 RealZerosofPolynomials Q A Q A 301
3.5 ComplexZerosandtheFundamentalTheoremofAlgebra 334
3.6 RationalFunctions 344 Q A Q A
Chapter 9 Review QA QA Q A Q A 654
Chapter9Test 658 Q A
¥ FOCUSONMODELING: VectorFields QA Q A Q A 659
CHAPTER Q A 10 SYSTEMS OF EQUATIONS AND INEQUALITIES QA QA QA QA 663
10.1 SystemsofLinearEquationsinTwoVariables Q A Q A 663
10.2 SystemsofLinearEquationsinSeveralVariables Q A Q A 670
10.3 PartialFractions 678 Q A Q A
10.4 SystemsofNonlinearEquations Q A 689
10.5 SystemsofInequalities Q A Q A 696
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