agonize vs pain

agonize is not a noun while pain is a noun.

Word	Noun	Adjective	Verb	Adverb
agonize	No	No	Yes	No
pain	Yes	No	Yes	No

As verbs, pain is a hypernym of agonize; that is, pain is a word with a broader meaning than agonize:

Other hypernyms of agonize include anguish, hurt.

agonize (noun)	pain (noun)
	a somatic sensation of acute discomfort
	something or someone that causes trouble; a source of unhappiness
	emotional distress; a fundamental feeling that people try to avoid
	a symptom of some physical hurt or disorder

agonize (verb)	pain (verb)
suffer agony or anguish	cause bodily suffering to and make sick or indisposed
cause to agonize	cause emotional anguish or make miserable