College Algebra

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MAT 150 WorkbookBehavior of a FunctionA function is increasing if its outputs increase as its inputs increase. A function isdecreasing if the outputs decrease as the inputs increase.1. Using the following graph, determine where the function is increasing and where it isdecreasing. Put your answer in interval notation.Increasing:Decreasing:Reflection: Write 2-3 sentences to explain how you can tell from a graph whether afunction is increasing or decreasing.23
MAT 150 WorkbookRelative and Absolute ExtremaWe have a relative minimum if a function has a point that is less than all of the pointsaround it. This often occurs when a function goes from decreasing to increasing. We havea relative maximum if a function has a point that is greater than all of the points aroundit. This often occurs when a function goes from increasing to decreasing.The maximum value (sometimes referred to as the Absolute Maximum) of a function isthe largest output value of a function over its entire domain. The minimum value(sometimes referred to as the Absolute Minimum) of a function is the smallest outputvalue of a function over its entire domain.1. Identify the relative extrema of the following function:Relative minimumRelative maximumReflection: Write 2-3 sentences to explain whether or not the relative extrema are theabsolute extrema.24
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: MAT 150 WorkbookZeros of a Function
Page 29 and 30: MAT 150 WorkbookVertical ShiftsGrap
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
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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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