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If both a bijection between topological spaces and its inverse have this property, it is called a homeomorphism. If a function scales the distance between two points by at most a constant, it has a form of this property named for Rudolf Lipschitz. (10[1])A function (10[1])has (10[1])this property if and only if the pre-image of any open set is itself open. On an interval [a, b] (“a b”), a function f with this property will take all values between (10[1])[read slowly] f of a (10[1]-5[1])and f of b (10[4])by the intermediate (10[1])value theorem. (10[1])A function has this property if it equals its limit at every point. For 10 points, name this property of a function that can be defined informally as being able to draw its graph (10[1])without taking the pen off the paper. ■END■ (10[1])

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