I've seen many definitions of continuous functions. They all describe x in a domain, but there's not really much explanation about the domain considerations beyond examples with "all the reals" and "an interval of the reals."(adsbygoogle = window.adsbygoogle || []).push({});

I'm trying to figure out what continuity would mean on a missing strip plane. For example, we know that [itex]f(x) = x [/itex] is a continuous function on the reals. But consider a missing strip plane where the interval [itex]x \in (0, 1][/itex] is missing. Is this function still continuous on that domain.

Thanks!

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# Continuity on a Missing Strip Plane

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