the graph & nature of the greatest integer function [x], absoulte value function modulus of x.

Asked by  | 19th Mar, 2008, 02:56: PM

Expert Answer:

  • Greatest Integer Function is a step function written as f(x) = [x], where f(x) is the greatest integer less than or equal to x.
  • In other words, a greatest integer function rounds any number down to the nearest integer.

Examples

  • The greatest integer less than or equal to the number [5.3] is [5].
  • The greatest integer less than or equal to the number [- 5.3] is [- 5].

     

    The graph of the greatest integer function is a step function.

     

    the absolute value or modulus of x is:

    | x| = -x if x is strictly less than 0

    and it equal to +x if x0

    the graph of modulous function is

     

Answered by  | 19th Mar, 2008, 05:36: PM

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