broken vs discontinuous

broken and discontinuous both are adjectives.

Word	Noun	Adjective	Verb	Adverb
broken	No	Yes	No	No
discontinuous	No	Yes	No	No

broken (adjective)	discontinuous (adjective)
physically and forcibly separated into pieces or cracked or split	not continuing without interruption in time or space
not continuous in space, time, or sequence or varying abruptly	of a function or curve; possessing one or more discontinuities
(especially of promises or contracts) having been violated or disregarded
out of working order (`busted' is an informal substitute for `broken')
destroyed financially
thrown into a state of disarray or confusion
discontinuous
subdued or brought low in condition or status
weakened and infirm
imperfectly spoken or written
lacking a part or parts
topographically very uneven
tamed or trained to obey