extrapolate vs infer

extrapolate and infer both are verbs.

Word	Noun	Adjective	Verb	Adverb
extrapolate	No	No	Yes	No
infer	No	No	Yes	No

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

extrapolate: gain knowledge of (an area not known or experienced) by extrapolating
infer: reason by deduction; establish by deduction

Other hypernyms of extrapolate include deduce, deduct, derive.

As verbs, extrapolate and infer are synonyms defined as:

Other synonyms of extrapolate include generalise, generalize.

extrapolate (verb)	infer (verb)
estimate the value of something based on known values	reason by deduction; establish by deduction
gain knowledge of (an area not known or experienced) by extrapolating	believe to be the case
draw from specific cases for more general cases	guess correctly; solve by guessing
	conclude by reasoning; in logic
	draw from specific cases for more general cases