Suppose [itex]f:\mathbb{R}\to \mathbb{R}[/itex] is a continuous function (standard metric).(adsbygoogle = window.adsbygoogle || []).push({});

Show that its graph [itex]\{ (x,f(x)) : x \in \mathbb{R} \}[/itex] is a closed subset of [itex]\mathbb{R}^2[/itex] (Euclidean metric).

How to show this is closed?

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# Homework Help: Closed set (metric spaces)

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