Solution-Real-valued function, Let X be a set and f : X → R

Real-valued function

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Let X be a set and f : X → R be a real-valued function. Show that the relation givenby x ∼ y if and only if f(x) = f(y) is an equivalence relation on X.Remark: Equivalence classes for this relation are called level sets of f.

Reference no: EM131237750

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Real-valued function

Reference no: EM131237750

Reference no: EM131237750

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