# 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 a 50% commission on every question that your affiliated users ask or answer.

- answered
- 607 views
- $10.00

### Related Questions

- Function Invertibility/Inverse & Calculus, One question. Early Uni/College level
- Domain question
- I need help on this problem! it's trigonometric functions I believe. If you could show your work that would be even better! Thank you guys
- continuous function
- Equation of the line tangent to a circle
- Functions + mean value theorem
- Inclusion-Exclusion and Generating Function with Coefficient (and Integer Equation)
- What can we say about the transformation ?