Page 43 - Ranger SPM 2022 - Additional Mathematics
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                   Form 4                                12.  –   1
                                                              5
                                                         13.  2 4
                                                             5
                CHAPTER 1    Functions                   14.  7
                                                         Paper  2
               Quiz on page 3                             1.  (a)  The relation is a function because every
               (a)  {1, 2, 3, 4}                                object has only one image.
                                                                      2
               (b)  {3, 5, 6, 7, 9}                         (b)  f : x → x  or f(x) = x 2
               (c)  {3, 5, 7, 9}                            (c)  (i)  {-1, 1, 2, 3}
               (d)  1                                             (ii)  {1, 4, 9}
               (e)  7                                             (iii)  -1, 1
                                                                     5
                                                          2.  (a)  (i)  –
               Quiz on page 8                                        2
               (a)  -3  x  7                                     (ii)  -1
               (b)  -2  f  (x)  3                       3.  (a)  18
                       –1
                                                            (b)  (ii)  361
                 SPM PRACTICE                                        5
                                                                (iii)  –
                                                                     2
                Paper  1                                  4.  (a)  p = 1, q = –6, r = 5
                  1.  –11  f(x)  7                        (b)  (i)  11 – 6x
                  2.  p = –6, q = 13                              (ii)   4
                  3.  function, one-to-one relation                3
                  4.                                      5.  (a)   1 1
                                                                 ,
                           y                                    4 6
                                                            (b)  (i)   6   – 3
                                 y = f (x)                          x + 1
                                    –1
                            2                                     (ii)  -1
                                   x
                          0   2                           6.  (a)   14 – 3x
                                                                  5
                                                            (b)  (i)  4
                                                                (ii)  0  x  2 8
                  5.  (a)  –   7                                      y    9
                        5
                    (b)  6                                                  m(x) = |9x –13|
                                                                     13
                 6.  (a)  2
                    (b)  1
                 7.  (a)  x + 4                                       0     4     8  x
                    (b)   x – 13                                           1  9  2  9
                         3
                 8.  6x 2                                 7.  (a)  –   5
                  9.  –5  f(x)  1                              2  2
                 10.   7                                    (b)  (i)
                                                                   3
                   10                                              x  + 2
                                                                    2
                 11.   2                                        (ii)  3
                    3

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