An algebra problem by Manuel Kahayon
Algebra
Level
2
Does there exist a function \(f: \mathbb{R} \to \mathbb{R}\) which satisfies
- \(f(x)\) is bijective;
- \(f(x)\) is neither non-increasing nor non-decreasing;
- \(f\big(f(x)\big)\) is non-decreasing?
by
Manuel Kahayon