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How can you tell where on a graph f is discontinuous? What are the criteria?

  • Calculus -

    usually there will be a fraction involved. Wherever the denominator is zero, f(x) will be undefined.

    Or there may be a square root or logarith. f(x) not defined when the radicand is negative.

    In general, look for values where f(x) is not defined; it is discontinuous there.

  • Calculus -

    What if there isn't a fraction at all and it's just a graph with a function on it? My homework doesn't have a given expression of a function just a graphical representation of it.

  • Calculus -

    If all you have is the graph, then if there are any vertical asymptotes or holes in the graph, that's where f(x) is discontinuous.

    I mean, jeez. you must have an intuitive feel for what "continuous" means. Math usually tries to use words that already have meaning.

  • Calculus -

    Alright I was clarifying since it's going to be graded. Doesn't hurt, does it?

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