College Algebra

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SCOTTSDALE COMMUNITY COLLEGEMAT 150<strong>College</strong> <strong>Algebra</strong> WorkbookSCC Math DepartmentThis workbook is licensed under a Creative Commons Attribution-Share Alike 3.0United States License.To view a copy of this license, visit http://creativecommons.org/licenses/by-sa/3.0/us/ or send a letter toCreative Commons, 171 Second Street, Suite 300, San Francisco, California, 94105, USA.Attributions: Dr Phillip G Clark, Linda Knop, Daniel Nearing, Dr Ted Coe, DrSally Jacobs, Dr James Vicich
MAT 150 WorkbookTable of ContentsLesson 1: Functions ............................................................................................................ 6Outline............................................................................................................................. 6Functions Activity ......................................................................................................... 12Function Notation ..................................................................................................... 14Working with Function Notation .............................................................................. 15What is a Function? .................................................................................................. 16Practice Using Function Notation ............................................................................. 17Domain and Range .................................................................................................... 18Combinations of Functions ....................................................................................... 20Piece-Wise Defined Functions .................................................................................. 21Zeros of a Function ................................................................................................... 22Behavior of a Function.............................................................................................. 23Relative and Absolute Extrema ................................................................................ 24Lesson 2: Transformations of Functions........................................................................... 25Outline........................................................................................................................... 25Transformations Activity .............................................................................................. 27Vertical Shifts ........................................................................................................... 28Horizontal Shifts ....................................................................................................... 29Reflection across the x-axis ...................................................................................... 30Reflection across the y-axis ...................................................................................... 31Symmetry; Even & Odd Functions ........................................................................... 32Vertical Stretch and Compression ............................................................................ 33Horizontal Compressions and Stretches ................................................................... 34Reflect, Shift, Stretch, and Compress (Shrink) ......................................................... 35Interpreting Transformations .................................................................................... 36Shifting Graphs ......................................................................................................... 37Lesson 3: Linear Functions ............................................................................................... 39Outline........................................................................................................................... 39Linear Functions Activity ............................................................................................. 42Average Rate of Change & Slope ............................................................................. 43Average Rate of Change (How Fast?) ...................................................................... 44Average Rate of Change ........................................................................................... 45What‟s the Story? ...................................................................................................... 462
Page 1: College AlgebraScottsdale Community
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 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
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MAT 150 Workbook5. Death Rate Due t
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MAT 150 Workbook8. Consumer Spendin
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MAT 150 WorkbookZeros, Roots, x - i
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MAT 150 WorkbookQuadratic ModelA ba
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MAT 150 WorkbookForms of the Quadra
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MAT 150 WorkbookMystery Graphs!Writ
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MAT 150 WorkbookLesson 5: Polynomia
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MAT 150 WorkbookExample 1: Given fa
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MAT 150 WorkbookPower Functions1. y
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MAT 150 WorkbookDegrees and Zeros1.
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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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