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Math Help - Continuity

  1. #1
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    Continuity

    Is a graph continuous if it has a cusp? I believe that a graph is not differentiable at a cusp. If a graph is not differentiable at a point then it is not continuous.
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  2. #2
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    Re: Continuity

    If a function is not continuous, then it is not differentiable, but the converse is not true in general.
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  3. #3
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    Re: Continuity

    Quote Originally Posted by IDontunderstand View Post
    Is a graph continuous if it has a cusp? I believe that a graph is not differentiable at a cusp. If a graph is not differentiable at a point then it is not continuous.
    Definitions do vary.
    But I think that it is generally agreed that graphs are continuous at cusps.
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