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A function is Lipschitz continuous if there is a constant K such that what?
A|f(x)| <= K for all x
B|f(x) - f(y)| <= K|x - y|
Cf'(x) = K everywhere
Df(x) - f(y) = K always
Answer & Solution
Correct answer: B. |f(x) - f(y)| <= K|x - y|
Lipschitz continuity bounds how fast outputs can differ, by a fixed multiple K of the difference in inputs.
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