perplexus.info :: Just Math : Function Finding From Floor

Function Finding From Floor (Posted on 2016-09-30)

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.

See The Solution Submitted by K Sengupta

Rating: 4.0000 (2 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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