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Function Finding From Floor (Posted on 2016-09-30) Difficulty: 3 of 5
Find all functions f:R -> R such that:
f(floor(x)*y) = f(x)*floor(f(y)) holds for all x and y.

Prove that no other function satisfies the above relationship.

No Solution Yet Submitted by K Sengupta    
Rating: 3.0000 (1 votes)

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re: Solution (spoiler) Comment 2 of 2 |
(In reply to Solution (spoiler) by Steve Herman)

Actually, the previous "solution" does not necessarily list all functions.


Given that  f(0) = f(x)*floor(f(0)),  f(x) need not be constant if f(0) = 0



  Posted by Steve Herman on 2016-10-03 11:19:48
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