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Cryptokyo TMUA Problem Set · Q12

Logic & proofFunctions & graphs

We say a function is multiplicatively bounded if and only if f(xy)≤f(x)f(y)f(xy)\le f(x)f(y) and f(0)>0f(0)>0.

Is f(x)≥1f(x)\ge1 a necessary condition for a multiplicatively bounded function?

ANo - it is neither necessary nor sufficient
BNo - it is sufficient but not necessary
CYes - it is necessary
DYes - it is necessary and sufficient
EIt depends on the value of f(0)f(0)

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