1 A function f(x) is called shift-scale-invariant if, for every x0, there exists a value ...

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1 A function f(x) is called shift-scale-invariant if, for every x0, there exists a value μ such that y = f(x) implies y = f(x'), where we denoted y'=uy and x'=x+x0. Prove that every differentiable shift-scale invariant function has the form f(x) = A exp(a - x) for some A and a. 1 A function f(x) is called shift-scale-invariant if, for every x0, there exists a value μ such that y = f(x) implies y = f(x'), where we denoted y'=uy and x'=x+x0. Prove that every differentiable shift-scale invariant function has the form f(x) = A exp(a - x) for some A and a.

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Let fx be a differentiable shiftscale invariant function Then f... View the full answer