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A continuous f on [0, 1] has f(0) = -2 and f(1) = 3. Which theorem gives a zero?
ALipschitz condition
BChain rule for powers
CExtreme value theorem
DIntermediate value theorem
Answer & Solution
Correct answer: D. Intermediate value theorem
A continuous function on a closed interval takes every value between f(0) and f(1), including 0.
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