injure vs damage

injure is not a noun while damage is a noun.

Word	Noun	Adjective	Verb	Adverb
injure	No	No	Yes	No
damage	Yes	No	Yes	No

As verbs, damage is a hypernym of injure; that is, damage is a word with a broader meaning than injure:

injure (noun)	damage (noun)
	the act of damaging something or someone
	any harm or injury resulting from a violation of a legal right
	the occurrence of a change for the worse
	loss of military equipment
	the amount of money needed to purchase something

injure (verb)	damage (verb)
cause injuries or bodily harm to	inflict damage upon
cause damage or affect negatively	suffer or be susceptible to damage
hurt the feelings of