Possible Duplicate:
Is a uniformly continuous function vanishing at $0$ bounded by $a|x|+c$?
On the wikipedia page for Modulus of Continuity, it states that for $f$ uniformly continuous on $\mathbb{R}$, $\exists a,b>0 \in \mathbb{R}$ such that $|f(x)| \leq a|x|+b$ for all $x \in \mathbb{R}$. Can someone please explain why this is?
Regards, MM.