College Algebra

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MAT 150 WorkbookSystems of Equations and Matrices Activity .............................................................. 152Solving 2x2 Systems ............................................................................................... 153Solving a 2x2 System Using an Inverse Matrix: .................................................... 154Applications Involving 2x2 Systems ...................................................................... 155Solving 3x3 Systems ............................................................................................... 157Finding a Polynomial Given Points ........................................................................ 159Applications Involving 3x3 Systems ...................................................................... 160Lesson 12: Sequences and Series .................................................................................... 163Outline......................................................................................................................... 163Sequences and Series Activity .................................................................................... 167Notation for Sequences ........................................................................................... 168Identifying Sequences ............................................................................................. 169Summation Notation ............................................................................................... 170Arithmetic Series .................................................................................................... 171Finite Geometric Series........................................................................................... 172Infinite Geometric Series ........................................................................................ 173Application of a Geometric Series .......................................................................... 1745
MAT 150 WorkbookLesson 1: FunctionsOutlineObjectives:I can distinguish whether or not a relationship is a function from multiple representations:(using the definition of function in words; by solving an equation; using a table of values;using the vertical line test on a graph; from a mapping diagram).I can translate a table of values to a set of ordered pairs or into function notation.I can use and interpret function notation.I can use and interpret set notation.I can represent or model a real-world relationship with a function.I can determine the domain and range of a function and write them in interval notation.I can evaluate a function at a value, solve a function for a value, and interpret the results.I can add, subtract, multiply, and divide functions, attending to domain restrictions.I can find and simplify the difference quotient and interpret its meaning.I can graph and interpret a piece-wise defined function.I can interpret the zeros of a function.I can find x-intercepts and y-intercepts if any.I can test for symmetry.I can determine whether a function is even, odd, or neither.I can identify where a function is increasing, decreasing, or constant.Definitions / Vocabulary / Graphical Interpretation:Function definition:The input is sometimes referred to as the _____________________________________.The output is sometimes referred to as the ____________________________________.Note: The output does not have to depend on the input in order to have a function.4 forms of a function representation:____________________________________________________________________A table of values represents a function if:A graph represents a function if:6
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Page 3 and 4: MAT 150 WorkbookTable of ContentsLe
Page 5: MAT 150 WorkbookFunction Decomposit
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
Page 53 and 54: MAT 150 Workbook5. Death Rate Due t
Page 55 and 56: 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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