infant vs baby

infant and baby both are nouns.

Word	Noun	Adjective	Verb	Adverb
infant	Yes	No	No	No
baby	Yes	No	Yes	No

As nouns, infant and baby are synonyms defined as:

infant and baby: a very young child (birth to 1 year) who has not yet begun to walk or talk

Other synonyms of infant include babe.

infant (noun)	baby (noun)
a very young child (birth to 1 year) who has not yet begun to walk or talk	a project of personal concern to someone
	a very young mammal
	a very young child (birth to 1 year) who has not yet begun to walk or talk
	the youngest member of a group (not necessarily young)
	an immature childish person
	an unborn child; a human fetus
	a beloved person; used as terms of endearment

infant (verb)	baby (verb)
	treat with excessive indulgence