Page 67 - Math Smart - 7
P. 67

O Complete the mapping diagrams,
                                                                                                 1
               a)  A" —7a -                        b)  A—>3(a + 1)                  c) .j:   A +
                              3
                  Input        Output                  Input        Output               Input        Output
                                                                                                            N
                               f       \                                                f'    N,      ^
                                  53                     5                                 3

                    9                                                  27                                6
                                  81                     12                                13
                    15                                                 78                               12
                               L       J              k       J     k       J           V       J     k      y



                  Investigate!



               Cheng, Mila and Reza are asked to write down the function of this
               function machine.



               a)        5


                        13                                            21



                        19                                            36

               Cheng says, "I think the function is 'multiply by 2 and then subtract 2"'.

               Mila says, "I think the function is 'multiply by 2 and then subtract 5"'.
               Reza says, "I think the function is 'subtract 3 and then multiply by 2"'.
               Who is correct?
           O Find the function for each of these mappings.
               Write each answer in the form 'a —>■

               a)                                  b)
                   Input        Output                Input        Output
                                                            \
                                                      ^
                                r    N
                    20            15                                  6
                    21            16                    5             10

                    22            17                    4             14
                    23            18                    5             18
                                     J
                                                                         J
                  k     )      L                     V             k
                                                           J





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