Page 39 - Mathematics_Form_3
P. 39

Functions


               (b)                                     (b)
                        y                                     y
                     6                                         6
                     5                                         5
                                                               4
          FOR ONLINE READING ONLY
                     4
                                                               3
                     3
                                                               2
                     2
                                                               1
                     1
                                                           -1 0    1  2   3  4  5   6  7 x
                 -1 0     1   2   3   4  5   x               -1
                   -1                                        -2
                   -2
                                                       (c)
                                                                         y
               (c)                                                      4
                                  y                                     3
                                4
                                                                        2
                                3
                                                                        1
                                2                                                         x
                                                        -6 -5 -4 -3 -2 -1 0  1  2  3  4  5  6
                                1
                                                  x                   -1
                -6 -5 -4 -3 -2 -1 0  1  2  3  4  5  6                 -2
                              -1
                                                                      -3
                              -2
                              -3
                                                      From the figures, it can be observed that
               Solution                               the vertical lines drawn in (a) and (b)
                                                      cross the graphs more than once, therefore
               Draw a straight line parallel to the
      Mathematics for Secondary Schools  (a)  y 3     in (c) crosses the graph only once, hence
                                                      the graphs in (a) and (b) do not represent
               y-axis in each of the given graphs as
                                                      functions, while the vertical line drawn
               shown in the following figures:
                                                      (c) represents a function.


                                                       Exercise 2.1
                       2
                                                       1. Represent the following set of
                       1
                                                         ordered pairs in a pictorial diagram:
                                                         {(1, –3 ) , (2, 2 ) , ( −1, 3 ) , ( −2,  4)}
                  -1
                       0
                      -1     1   2    3   4    5  x    2. Represent the following coordinates
                                                         in the xy-plane:
                      -2
                                                         (0, 0), (1, 1), (2, 2), (3, 3), (4, 4)




                                                    32                 Student\s Book Form Three



                                                                                          18/09/2025   09:58:50
     MATHEMATIC F3 SB.indd   32                                                           18/09/2025   09:58:50
     MATHEMATIC F3 SB.indd   32
   34   35   36   37   38   39   40   41   42   43   44