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Which theorem states that if $f$ is continuous and attains values of $a$ and $b$ at different points, it must attain all values in between $a$ and $b$?

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    $\begingroup$ Intermediate value theorem. $\endgroup$ – user296602 Jan 13 '18 at 21:15
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    $\begingroup$ I don't feel this question is on-topic as it's literally just a matter of googling that exact phrase. $\endgroup$ – Alfred Yerger Jan 13 '18 at 21:58
  • $\begingroup$ Possible duplicate of Proof of the Intermediate Value Theorem $\endgroup$ – Sahiba Arora Jan 14 '18 at 0:03
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Intermediate Value Theorem....

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