Show that satisfies a Lipschitz condition when x lies in any bounded domain D (i.e. | x | < M where M is constant), but cannot satisfy a Lipschitz condition for all x.
First find and
If x is in a bounded domain | x | < M then f satisfies a Lipschitz condition with constant . If the domain is not bounded then the max will not be bounded and so f will not be Lipschitz.