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2.1 Function and Their Graphs.notebook                     September 04, 2012


      Objective ­ Identify and graph functions

      Agenda                        Warm Up
      1. WU                        
      2. check hw
      3. Notes                           scatter plot ws
      4. Work




                                                                                1
2.1 Function and Their Graphs.notebook                                      September 04, 2012

      Relation ­ a mapping, or pairing, of input values with output values.  



        Domain ­ input values

        Range ­ output values


       A relation is a function if each input has exactly one output. 
       Not a function if any input has more than one output.  




         Identify the domain and range.  Is the relation a function?


           ­2              2                            ­3             ­1

           1               ­3                           ­2             1
                           1                            1
           4                                                           ­3
                           3                            4


         Domain:                                       Domain:
         Range:                                        Range:

         Function?                                     Function?




                                                                                                 2
2.1 Function and Their Graphs.notebook                                           September 04, 2012

          Vertical Line Test

           




        Graph the relation shown in the diagram.

        Use the vertical line test to show whether the relation is a function.


              ­3            1

                            ­1
              ­2
                            2
              1             4



          Ordered pairs. 




                                                                                                      3
2.1 Function and Their Graphs.notebook                            September 04, 2012

        List the domain and range.  Is the relation a function?




            D = {
            R = {




                                                                                       4

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2.1 functions

  • 1. 2.1 Function and Their Graphs.notebook September 04, 2012 Objective ­ Identify and graph functions Agenda     Warm Up 1. WU     2. check hw 3. Notes scatter plot ws 4. Work 1
  • 2. 2.1 Function and Their Graphs.notebook September 04, 2012 Relation ­ a mapping, or pairing, of input values with output values.   Domain ­ input values Range ­ output values A relation is a function if each input has exactly one output.  Not a function if any input has more than one output.   Identify the domain and range.  Is the relation a function? ­2 2 ­3 ­1 1 ­3 ­2 1 1 1 4 ­3 3 4 Domain: Domain: Range: Range: Function? Function? 2
  • 3. 2.1 Function and Their Graphs.notebook September 04, 2012 Vertical Line Test   Graph the relation shown in the diagram. Use the vertical line test to show whether the relation is a function. ­3 1 ­1 ­2 2 1 4 Ordered pairs.  3
  • 4. 2.1 Function and Their Graphs.notebook September 04, 2012 List the domain and range.  Is the relation a function? D = { R = { 4