Domain of a function

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0
1. The problem statement, all variables and given/known data
Hi

If I have a function defined in one point only given by e.g.

f(x) = 2,

then is the function f defined on a open "interval" or a closed "interval"?
 

CompuChip

Science Advisor
Homework Helper
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47
Simple answer: a single point is a closed interval.

Complicated answer: it depends on the topology you put on R.
 

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