pursue vs give chase

pursue and give chase both are verbs.

Word	Noun	Adjective	Verb	Adverb
pursue	No	No	Yes	No
give chase	No	No	Yes	No

As verbs, give chase is a hyponym of pursue; that is, give chase is a word with a more specific, narrower meaning than pursue:

Other hyponyms of pursue include stalk, chase, chase after, dog, go after, tag, tail, track, trail, haunt, stalk.

pursue (verb)	give chase (verb)
go in search of or hunt for	go after with the intent to catch
follow in or as if in pursuit
carry out or participate in an activity; be involved in
carry further or advance