Question 33
The function $f:[0,1] \rightarrow \mathbb{R}$ has the following properties:
a. $f(x) \geq 0$ for all $x \in [0,1]$
b. $f(1) = 1$
c. $f(x+y) \geq f(x) + f(y)$ for all $x, y, x+y \in [0,1]$
Evidence: $f(x) \leq 2x$ for all $x \in [0,1]$
a. $f(x) \geq 0$ for all $x \in [0,1]$
b. $f(1) = 1$
c. $f(x+y) \geq f(x) + f(y)$ for all $x, y, x+y \in [0,1]$
Evidence: $f(x) \leq 2x$ for all $x \in [0,1]$