at rest vs asleep

at rest and asleep both are adjectives.

Word	Noun	Adjective	Verb	Adverb
at rest	No	Yes	No	No
asleep	No	Yes	No	Yes

As adjectives, at rest and asleep are synonyms defined as:

Other synonyms of at rest include at peace, deceased, departed, gone.

at rest (adjective)	asleep (adjective)
in a state of repose or especially sleep	in a state of sleep
dead	dead
	lacking sensation

at rest (adverb)	asleep (adverb)
	into a sleeping state
	in the sleep of death