Piecewise defined discontinuous functions in Mathematica

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    Piecewise defined discontinuous functions in Mathematica

    Anyone know how to graph a piecewise defined discontinuous function in Mathematica so that the discontinuities actually show up?


    I googled and found a solution here but it doesn't work. I've been editing the graphs with microsoft paint to make them look discontinuous but it is very time consuming, especially since I need to create so many graphs.

    Anyone have any experience with this?

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    Registered User hk_mp5kpdw's Avatar
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    Did you try what was shown in that document at the bottom of page 9?

    In order to create a discontinuous graph, plot the portions separately and then combine using the Show command.
    Last edited by hk_mp5kpdw; 03-16-2005 at 08:23 AM.
    "Owners of dogs will have noticed that, if you provide them with food and water and shelter and affection, they will think you are god. Whereas owners of cats are compelled to realize that, if you provide them with food and water and shelter and affection, they draw the conclusion that they are gods."
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    Yup it errors out

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    Registered User hk_mp5kpdw's Avatar
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    I remember that document also saying something about errors because of the domain being used for a particular function. Show us the function along with the command you are using to plot it.
    "Owners of dogs will have noticed that, if you provide them with food and water and shelter and affection, they will think you are god. Whereas owners of cats are compelled to realize that, if you provide them with food and water and shelter and affection, they draw the conclusion that they are gods."
    -Christopher Hitchens

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    I tried to plot the same one they had there and it didn't work.

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    S Sang-drax's Avatar
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    Excatly what do you mean by "discontinuities actually show up"?

    I barely know any Mathematica but I just did this:
    Code:
    p1 := Plot[ x , {x, -1, 1}];
    p2 := Plot[x + 2, {x, 1, 3}];
    Show[p1, p2];
    In the last plot a discontinuous function is shown. To me, the discontinuity is clearly shown.
    Last edited by Sang-drax : Tomorrow at 02:21 AM. Reason: Time travelling

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    Thank you!

    For some reason when I used the code in that pdf it did not work. Next time I should try rereading about the show function in the documentation.

    I still have to edit the graphs though because I want to indicate whether there is a hole in the graph at a certain point but that is no big deal I guess.

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