cut out vs extinguish

cut out is an adjective but extinguish is not an adjective.

Word	Noun	Adjective	Verb	Adverb
cut out	No	Yes	Yes	No
extinguish	No	No	Yes	No

As verbs, extinguish is a hypernym of cut out; that is, extinguish is a word with a broader meaning than cut out:

Other hypernyms of cut out include do away with, eliminate, get rid of.

cut out (adjective)	extinguish (adjective)
having been cut out

cut out (verb)	extinguish (verb)
delete or remove	put an end to; kill
cease operating	kill in large numbers
intercept (a player)	terminate, end, or take out
strike or cancel by or as if by rubbing or crossing out	extinguish by crushing
form and create by cutting out	put out, as of fires, flames, or lights
cut off and stop