extrapolate vs deduce

extrapolate and deduce both are verbs.

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

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

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

Other hypernyms of extrapolate include deduct, derive, infer.

extrapolate (verb)	deduce (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	conclude by reasoning; in logic
draw from specific cases for more general cases