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?

**Physics Forums - The Fusion of Science and Community**

# Closed set (metric spaces)

Know someone interested in this topic? Share a link to this question via email,
Google+,
Twitter, or
Facebook

- Similar discussions for: Closed set (metric spaces)

Loading...

**Physics Forums - The Fusion of Science and Community**