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8.1 relations and functions                                          February 28, 2012




     Solve for x.

     1. 2x + 4 = 16


     2. 3(­6x ­ 7) = 4x


     3. x + 8 = 9
         5



                                  Bellwork
     4. 12 ­ 6x = 10x + 15 


                              Objective: identify and graph relations and functions




HW pg. 403 #1­5, 11­22                                                                   1
8.1 relations and functions                                        February 28, 2012




    Relation ­ set of ordered pairs

    {(25, 133), (22, 216), (24, 148), (22, 195), (20, 74), (21, 150)}

    Domain ­ the first coordinates or the x coordinates

    Range ­ the second coordinates or the y coordinates

    Function ­ a relation where each domain is paired with exactly one range.




HW pg. 403 #1­5, 11­22                                                                 2
8.1 relations and functions                  February 28, 2012




     Is each relation a function? Explain.

     [(0, 1), (1, 2), (1, 3), (2, 4)]


            Domain            Range




HW pg. 403 #1­5, 11­22                                           3
8.1 relations and functions              February 28, 2012




      [(0, 1),(1, 2),(2, 2),(3, 4)]




      [(0, 1), (1, 3), (2, 2), (3, 4)]




HW pg. 403 #1­5, 11­22                                       4
8.1 relations and functions                                                February 28, 2012




       Graph the relation shown in the table.  

       Domain        Range
       ­4            ­3
       2              0
       2              3
       4              3
       5             ­4




      Use the vertical line test.  Is the relation a function?  Explain.




HW pg. 403 #1­5, 11­22                                                                         5
8.1 relations and functions   February 28, 2012




HW pg. 403 #1­5, 11­22                            6
8.1 relations and functions                       February 28, 2012




                  Page 403 # 1 ­ 5, 11 ­ 22 all




HW pg. 403 #1­5, 11­22                                                7

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8.1 notes

  • 1. 8.1 relations and functions February 28, 2012 Solve for x. 1. 2x + 4 = 16 2. 3(­6x ­ 7) = 4x 3. x + 8 = 9     5 Bellwork 4. 12 ­ 6x = 10x + 15  Objective: identify and graph relations and functions HW pg. 403 #1­5, 11­22 1
  • 2. 8.1 relations and functions February 28, 2012 Relation ­ set of ordered pairs {(25, 133), (22, 216), (24, 148), (22, 195), (20, 74), (21, 150)} Domain ­ the first coordinates or the x coordinates Range ­ the second coordinates or the y coordinates Function ­ a relation where each domain is paired with exactly one range. HW pg. 403 #1­5, 11­22 2
  • 3. 8.1 relations and functions February 28, 2012 Is each relation a function? Explain. [(0, 1), (1, 2), (1, 3), (2, 4)] Domain Range HW pg. 403 #1­5, 11­22 3
  • 4. 8.1 relations and functions February 28, 2012 [(0, 1),(1, 2),(2, 2),(3, 4)] [(0, 1), (1, 3), (2, 2), (3, 4)] HW pg. 403 #1­5, 11­22 4
  • 5. 8.1 relations and functions February 28, 2012 Graph the relation shown in the table.   Domain Range ­4 ­3 2  0 2  3 4  3 5 ­4 Use the vertical line test.  Is the relation a function?  Explain. HW pg. 403 #1­5, 11­22 5
  • 6. 8.1 relations and functions February 28, 2012 HW pg. 403 #1­5, 11­22 6
  • 7. 8.1 relations and functions February 28, 2012 Page 403 # 1 ­ 5, 11 ­ 22 all HW pg. 403 #1­5, 11­22 7