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The strategy we will follow is bounding the derivative, as the technique of splitting the query regions is very complex and probably very slow. Consider first a 1D function f, for which everywhere, |f'| < 0.3. We are given that f(3)=-2. What is a bound for f over the interval [1, 5]? Looking at the derivative bound, we have: | df | | -- | < 0.3 | dx | ...

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