lay off vs give notice

lay off and give notice both are verbs.

Word	Noun	Adjective	Verb	Adverb
lay off	No	No	Yes	No
give notice	No	No	Yes	No

As verbs, give notice is a hypernym of lay off; that is, give notice is a word with a broader meaning than lay off:

lay off: dismiss, usually for economic reasons
give notice: terminate the employment of; discharge from an office or position

Other hypernyms of lay off include can, dismiss, displace, fire, force out, give the axe, give the sack, sack, send away, terminate.

lay off (verb)	give notice (verb)
dismiss, usually for economic reasons	inform (somebody) of something
put an end to a state or an activity	terminate the employment of; discharge from an office or position