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Math Help - Point of discontinuity of peicewise

  1. #1
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    Point of discontinuity of peicewise

    How can I find the discontinuity of this piecewise?
    Here is the function:

    How do I figure this out? I know that as x approaches from the left it = 7.
    How do I figure out the right one, it = 5. Do I just treat it as 5, without doing anything to it, then I answer it as "no discontinuities."
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  2. #2
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    Re: Point of discontinuity of peicewise

    Quote Originally Posted by ritacame View Post
    How can I find the discontinuity of this piecewise?
    Here is the function:

    How do I figure this out? I know that as x approaches from the left it = 7.
    How do I figure out the right one, it = 5. Do I just treat it as 5, without doing anything to it?
    At x=7 which branch are you on?
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  3. #3
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    Re: Point of discontinuity of peicewise

    Why did you quote my post? I don't understand.
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  4. #4
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    Re: Point of discontinuity of peicewise

    Quote Originally Posted by ritacame View Post
    Why did you quote my post? I don't understand.
    the limit as x approaches 1 from the left is 7 and the limit as x approaches 1 from the right is -5 ... and you don't "see" something strange happening to the function at x = 1?
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  5. #5
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    Re: Point of discontinuity of peicewise

    Oh okay!!

    Thank You
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  6. #6
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    Re: Point of discontinuity of peicewise

    Quote Originally Posted by ritacame View Post
    Why did you quote my post? I don't understand.
    It's often a good practice to quote OP's in threads. That makes it easier to moderate.

    Incidentally, the link to your picture in the OP is broken.
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