# Find a continuous function $f(x)$ such that $f(x) \leq x$ and $0 \leq f(x) \leq C$ and $f(0)=0$ and $f'(x) > 0$

Here is a desmos illustrating the problem with a partial solution that is not bounded by $x$ for all $C$.

https://www.desmos.com/calculator/5syacx64uy

Austin Milt

19

Join Matchmaticians Affiliate Marketing
Program to earn up to 50% commission on every question your affiliated users ask or answer.

- answered
- 459 views
- $10.00