infer vs extrapolate

infer and extrapolate both are verbs.

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

As verbs, extrapolate is a hyponym of infer; that is, extrapolate is a word with a more specific, narrower meaning than infer:

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

Other hyponyms of infer include surmise, elicit.

As verbs, infer and extrapolate are synonyms defined as:

Other synonyms of infer include generalise, generalize.

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