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If both a bijection between topological spaces and its inverse have this property, it is called a homeomorphism. (10[1])If a function scales the distance between two points by at most a constant, it has a form of this property (10[1])named for Rudolf Lipschitz. (10[1])A function has this (10[2])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 (10[1])between [read slowly] f of a and f of (10[1])b (-5[1])by the intermediate value theorem. A function has this property if it equals (10[1])its limit at every point. For 10 points, name this property of a function that can be defined (10[1])informally as being able to draw its graph without taking the pen off the paper. ■END■

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