olymmath

Putnam 2016 B5

  • Session B

Find all functions ff from the interval (1,∞)(1, \infty) to (1,∞)(1, \infty) with the following property: if x,y∈(1,∞)x,y \in (1, \infty) and x2≤y≤x3x^2 \leq y \leq x^3, then (f(x))2≤f(y)≤(f(x))3(f(x))^2 \leq f(y) \leq (f(x))^3.

Curated text Kedlaya Putnam archive. Quoted with source.

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.

Add a solution

Locator putnam/2016/b5 · Tag YQW0Q21REC · Edit this page on GitHub · Keys: j next, k previous