Page 4 - Grab Me SPM Add Mathematics Form 4,5
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                                                                               Algebra
            CHAPTER  1  FUNCTIONS




           1.1  Functions
          •   Function  is  a  one-to-one  relation  or  a  many-to-one  relation  such  that  one  object  has  only  one
            image.
                                      Functions representation

                    Arrow diagram             Graph                Ordered pair
          •  Functions may be discrete functions or continuous functions.
          •  Vertical line test is used to determine whether a relation is a function or not.
          •  Function notation: Alphabets such as f, g or h can be used to
            represent a function that maps set A to set B.     REMEMBER
            For example, f : A ˜ B
                      f : x ˜ f(x)                             •  Set A is a domain whereas
            Let f(x) = 3x + 1                                    set B is a codomain.
            Therefore, f(4) = 3(4) + 1                         •  x is an object whereas f(x) is
                                                                 an image.
                       = 13                                    •  Set of all images is known
          •  Absolute value function can be written as f : x ˜ |ax + b|. The   as range.
            shape of the graph is .
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        Ch 1_Grab Me SPM AddMaths F4.indd   1                                13/05/2022   8:56 AM
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