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Undid revision 1145881919 by 2A02:587:2C22:47FC:F904:151A:278D:D7A4 (talk) - a singleton image of a constant function is an interval, too, just a degenerate one |
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# If a continuous function has values of opposite sign inside an interval, then it has a [[Zero of a function|root]] in that interval ('''Bolzano's theorem''').<ref>{{MathWorld |title=Bolzano's Theorem |urlname=BolzanosTheorem}}</ref> <ref>{{cite book |doi=10.1007/978-3-030-11036-9|title=Cauchy's Calcul Infinitésimal |year=2019 |last1=Cates |first1=Dennis M. |isbn=978-3-030-11035-2 |s2cid=132587955|page=249 }}</ref>
# The [[image (mathematics)|image]] of a continuous
==Motivation==
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