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Thread: Greatest Integer Function Properties

  1. #1

    Greatest Integer Function Properties

    For homework we're supposed to give all the properties of different functions. I was able to do all of it except for this one greatest integer function -

    f(x) = -1/2 [x-1]

    These functions always mess me up!

    Could someone tell me the following properties of this function.

    Increasing Intervals
    Decreasing Intervals
    1-1?
    Continuity
    End-Behavior
    Boundedness
    Asymptotes
    x-intercept (s)
    y-intercept

    Please try to answer as soon as you can! Thanks I appreciate it a ton!!!!

  2. #2
    Elite Member stapel's Avatar
    Join Date
    Feb 2004
    Posts
    11,034
    Are you not familiar with how the Greatest-Integer function works...? Or are you having trouble with the definitions of "continuous" functions and such...?

    Please reply saying what you've done, and clarifying where you're stuck. For instance, you've graphed the function, or plugged it into your graphing calculator and looked at the picture. And... then what?

    Thank you.

    Eliz.

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