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Math Help - Continuity of the Sawtooth Function.

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    Newbie riddikulus's Avatar
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    Continuity of the Sawtooth Function.

    Sawtooth function: Draw the graph of f(x) = x - [x]. At which points is f discontinuous? Is it left- or right-continuous at those points?

    I have no idea where to begin...when I graphed this, it said it was undefined everywhere.
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  2. #2
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    Re: Continuity of the Sawtooth Function.

    Quote Originally Posted by riddikulus View Post
    Sawtooth function: Draw the graph of f(x) = x - [x]. At which points is f discontinuous? Is it left- or right-continuous at those points?

    I have no idea where to begin...when I graphed this, it said it was undefined everywhere.
    attached graph ... note the function is defined at (1,0)
    Attached Thumbnails Attached Thumbnails Continuity of the Sawtooth Function.-sawtooth.jpg  
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    Re: Continuity of the Sawtooth Function.

    Quote Originally Posted by riddikulus View Post
    Sawtooth function: Draw the graph of f(x) = x - [x]. At which points is f discontinuous? Is it left- or right-continuous at those points?
    What is important here is for you to realize that
    x-[x]\in [0,1).

    Thus the graph has a range [0,1).

    So do the question.
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