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  • Thread starter Ted123
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  • #1
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What is an example of a continuous function [itex]f:\mathbb{R}\to\mathbb{R}[/itex] such that [itex]f(\mathbb{R})[/itex] is open?
 

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  • #2
CompuChip
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Well, [itex]\mathbb{R}[/itex] is open in [itex]\mathbb{R}[/itex], right?
 
  • #3
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Well, [itex]\mathbb{R}[/itex] is open in [itex]\mathbb{R}[/itex], right?
So [itex]f(x)=x[/itex] is open
 

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