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Functions

Learning tasks
                    
Lesson Summary
Text book
Exercises Correction
A) Fundamental Concepts of Functions
    I) What is a Function?
      1) Writing Functions: Level 1Ex 1 Ex 2 Ex 3 Ex 4
      2) Writing Functions: Level 2Ex 5 Ex 6 Ex 7
      3) Calculating \(f(x)\)Ex 8 Ex 9 Ex 10 Ex 11 Ex 12 Ex 13 Ex 14 Ex 15 Ex 16 Ex 17 Ex 18 Ex 19 Ex 20 Ex 21 Ex 22
      4) Calculating \(f(x)\)Ex 23 Ex 24 Ex 25 Ex 26
      5) Evaluating Functions with Algebraic ExpressionsEx 27 Ex 28 Ex 29 Ex 30
      6) Substituting Values and Expressions into a FunctionEx 31 Ex 32 Ex 33
      7) Solving Linear Equations for \(f(x) = y\)Ex 34 Ex 35 Ex 36 Ex 37
      8) Finding PreimagesEx 38 Ex 39 Ex 40 Ex 41
      9) Analyzing Linear Models in ContextEx 42 Ex 43 Ex 44
      10) Identifying Functions from MappingsEx 45 Ex 46 Ex 47
      11) Domain, Codomain, and NotationEx 48 Ex 49 Ex 50 Ex 51 Ex 52
    II) Natural Domain and Range
      12) Finding the Natural Domain: Level 1Ex 53 Ex 54 Ex 55
      13) Finding the Natural Domain: Level 2Ex 56 Ex 57 Ex 58 Ex 59
      14) Finding the Natural Domain: Level 3Ex 60 Ex 61 Ex 62 Ex 63
      15) Finding the RangeEx 64 Ex 65 Ex 66
    III) Tables of Values
      16) Filling Tables of ValuesEx 67 Ex 68 Ex 69 Ex 70
      17) Finding the Function from a TableEx 71 Ex 72
    IV) Graphs
      18) Plotting Line GraphsEx 73 Ex 74 Ex 75
      19) Finding \(f(x)\)Ex 76 Ex 77 Ex 78 Ex 79 Ex 80
      20) Finding Inputs from Outputs on a GraphEx 81 Ex 82 Ex 83 Ex 84
    V) Bijective Functions
      21) Analyzing Function Properties from Mapping DiagramsEx 85 Ex 86 Ex 87 Ex 88
      22) Applying the Horizontal Line TestEx 89 Ex 90 Ex 91
B) Operations on Functions
    I) Algebra of Functions
      23) Adding, Subtracting, and Multiplying FunctionsEx 92 Ex 93 Ex 94 Ex 95
      24) Decomposing Expressions into FunctionsEx 96 Ex 97 Ex 98 Ex 99
      25) Operations on Functions and their DomainsEx 100 Ex 101
      26) Graphical Combination of FunctionsEx 102 Ex 103 Ex 104
    II) Composition of Functions
      27) Evaluating Composite FunctionsEx 105 Ex 106 Ex 107
      28) Decomposing Functions into CompositionsEx 108 Ex 109 Ex 110 Ex 111
      29) Evaluating Composite Functions from GraphsEx 112 Ex 113
      30) Solving Equations with Composite FunctionsEx 114 Ex 115 Ex 116
    III) Inverse Functions
      31) Finding and Checking InversesEx 117 Ex 118 Ex 119
      32) Graphing the Inverse Function by ReflectionEx 120 Ex 121 Ex 122
      33) Finding Inverses of Various Function TypesEx 123 Ex 124 Ex 125