College Algebra

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MAT 150 WorkbookTransformations ActivityObjectives for Transformations Activity Identify horizontal and vertical shifts and represent them using function notation Identify reflections and represent them using function notation Identify horizontal and vertical stretches and compressions Identify whether a function is even, odd or neither27
MAT 150 WorkbookVertical ShiftsGraph ANotice that Graph B has been shifted vertically downward by one unit.1. The equation for Graph A is:f ( x) x22. Then the equation for Graph B is: g(x) = __________3. Now write a formula that relates f(x) and g(x) in a single equation: _______________Looking for Vertical Shifts in a Table of DataTable Ax -3 -2 -1 0 1 2 3 4 5f(x) -3 -2 -1 0 1 2 3 4 5Table Bx -3 -2 -1 0 1 2 3 4 5g(x) -1 0 1 2 3 4 5 6 74. Compare outputs for corresponding inputs for the f and g functions. What do younotice?5. Using function notation such as f(x) = _______, write a formula for the function inTable A.6. Using function notation such as g(x) = _______, write a formula for the function inTable B.7. Now write a formula that relates f(x) and g(x) in a single equation:________________28
Page 1 and 2: College AlgebraScottsdale Community
Page 3 and 4: MAT 150 WorkbookTable of ContentsLe
Page 5 and 6: MAT 150 WorkbookFunction Decomposit
Page 7 and 8: MAT 150 WorkbookLesson 1: Functions
Page 9 and 10: MAT 150 WorkbookCommon Parent Funct
Page 11 and 12: MAT 150 WorkbookPiecewise Defined F
Page 13 and 14: MAT 150 WorkbookFunctions ActivityO
Page 15 and 16: MAT 150 WorkbookFunction Notationy
Page 17 and 18: MAT 150 WorkbookWhat is a Function?
Page 19 and 20: MAT 150 WorkbookDomain and RangeThe
Page 21 and 22: MAT 150 WorkbookCombinations of Fun
Page 23 and 24: MAT 150 WorkbookZeros of a Function
Page 25: MAT 150 WorkbookRelative and Absolu
Page 31 and 32: MAT 150 WorkbookReflection across t
Page 33 and 34: MAT 150 WorkbookSymmetry; Even & Od
Page 35 and 36: MAT 150 WorkbookHorizontal Compress
Page 37 and 38: MAT 150 WorkbookInterpreting Transf
Page 39 and 40: MAT 150 Workbook3.3) Use these axes
Page 41 and 42: MAT 150 WorkbookThe point-slope for
Page 43 and 44: MAT 150 WorkbookLinear Functions Ac
Page 45 and 46: MAT 150 WorkbookAverage Rate of Cha
Page 47 and 48: Sales Price of empty land.(In $thou
Page 49 and 50: MAT 150 WorkbookFormulas for Linear
Page 51 and 52: MAT 150 WorkbookLinear RegressionYo
Page 53 and 54: MAT 150 Workbook5. Death Rate Due t
Page 55 and 56: MAT 150 Workbook8. Consumer Spendin
Page 57 and 58: MAT 150 WorkbookZeros, Roots, x - i
Page 59 and 60: MAT 150 WorkbookQuadratic ModelA ba
Page 61 and 62: MAT 150 WorkbookForms of the Quadra
Page 63 and 64: MAT 150 WorkbookMystery Graphs!Writ
Page 65 and 66: MAT 150 WorkbookLesson 5: Polynomia
Page 67 and 68: MAT 150 WorkbookExample 1: Given fa
Page 69 and 70: MAT 150 WorkbookPower Functions1. y
Page 71 and 72: MAT 150 WorkbookDegrees and Zeros1.
Page 73 and 74: MAT 150 WorkbookFinding Polynomials
Page 75 and 76: MAT 150 WorkbookEnd Behavior and Ho
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MAT 150 Workbook6 STEPS TO GRAPHING
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MAT 150 WorkbookLong Run Behavior1.
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MAT 150 WorkbookAnalyzing Rational
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MAT 150 WorkbookFor each of the fol
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MAT 150 WorkbookLesson 7: Function
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MAT 150 WorkbookFunctions Compositi
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MAT 150 WorkbookFunction Compositio
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MAT 150 WorkbookMore Algebraic Comp
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MAT 150 WorkbookFunction Decomposit
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MAT 150 WorkbookDomain of a Composi
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MAT 150 WorkbookKey idea: If a func
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MAT 150 WorkbookInverse Functions A
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MAT 150 Workbook5. Suppose we have
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MAT 150 WorkbookCalculating Inverse
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MAT 150 Workbook4 35. The formula V
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MAT 150 WorkbookLesson 9: Exponenti
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MAT 150 WorkbookFinding an exponent
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MAT 150 WorkbookFinancial applicati
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MAT 150 WorkbookDetermining if data
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MAT 150 WorkbookExponential vs Line
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MAT 150 WorkbookThe Form of an Expo
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MAT 150 WorkbookDistance Traveled1.
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MAT 150 Workbook1. A colony of bact
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MAT 150 WorkbookCompound InterestA
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MAT 150 WorkbookLesson 10: Logarith
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MAT 150 WorkbookProperties of the N
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MAT 150 WorkbookLogarithmic Models
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MAT 150 WorkbookDefinition of LogyL
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MAT 150 WorkbookProperties of Logs1
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MAT 150 Workbook4. If log a = 2, lo
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MAT 150 WorkbookSolving Exponential
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MAT 150 WorkbookApplications of Log
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MAT 150 Workbook3. If one earthquak
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MAT 150 Workbook1. You place $1000
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MAT 150 Workbook4. A population of
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MAT 150 Workbook6. The population o
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MAT 150 Workbook8. Using the popula
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MAT 150 WorkbookIII.MatricesAn indi
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MAT 150 WorkbookSystems of Equation
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MAT 150 WorkbookSolving a 2x2 Syste
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MAT 150 Workbook3. Two numbers when
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MAT 150 Workbookd.532 7214 23234e.1
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MAT 150 WorkbookApplications Involv
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MAT 150 Workbook5. There are 3 cand
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MAT 150 WorkbookExamples:2na nn 2 n
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MAT 150 WorkbookProperties of Summa
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MAT 150 WorkbookNotation for Sequen
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MAT 150 WorkbookSummation Notation1
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MAT 150 WorkbookFinite Geometric Se
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MAT 150 WorkbookApplication of a Ge
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College Algebra

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