extrapolate vs work out

extrapolate and work out both are verbs.

Word	Noun	Adjective	Verb	Adverb
extrapolate	No	No	Yes	No
work out	No	No	Yes	No

As verbs, work out is a hypernym of extrapolate; that is, work out is a word with a broader meaning than extrapolate:

Other hypernyms of extrapolate include calculate, cipher, compute, cypher, figure, reckon.

extrapolate (verb)	work out (verb)
estimate the value of something based on known values	do physical exercise
gain knowledge of (an area not known or experienced) by extrapolating	give a workout to
draw from specific cases for more general cases	come up with
	work out in detail
	find the solution to (a problem or question) or understand the meaning of
	make a mathematical calculation or computation
	be calculated
	happen in a certain way, leading to, producing, or resulting in a certain outcome, often well