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Please explain the graph of int(x)

  1. Jul 14, 2011 #1
    i do not understand why they graph it with a line and a circle. I know what the circle and the line mean, i just do not understand how they apply to this graph.
  2. jcsd
  3. Jul 14, 2011 #2


    Staff: Mentor

    Are you talking about the greatest integer function that looks like this?
    [tex]\lfloor x\rfloor[/tex]

    If so, the greatest integer function is defined as the largest integer that is less than or equal to x.
    [tex]\lfloor 2.0\rfloor = 2[/tex]
    [tex]\lfloor 2.5\rfloor = 2[/tex]
    [tex]\lfloor 2.99\rfloor = 2[/tex]
    [tex]\lfloor 3.0\rfloor = 3[/tex]

    The function has a jump of one unit at each integer value.
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