Talk:Graph of a function

message: I was missing these kind of topics. We should also make a list of famous curves if it isn't yet somewhere in Wikipedia. For instance the Watt's curve in spherical polar coordinates: r2 = b2 - (a sin φ ± √(c2 - a cos2 φ))2 and many more ... --XJamRastafire 19:15 Sep 18, 2002 (UTC)
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Another Topic Missing: Graphing Functions.
Example: How do you graph the function -3 if x≤-4?
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thread_title: Topics missing

message: Is it typically y vs x or x vs y?  —Preceding unsigned comment added by 64.180.160.235 (talk) 05:23, 16 January 2009 (UTC)
replies: text: What is typically used is y vs. x, such that x is horizontal and y is vertical.  However, when specifically talking about plotting a function vs. its input, it is more clear and intuitive to plot f(x) vs. x (or f(y) vs. y or whatever), since the variables x and y are just placeholders.  EmergencyBackupChicken (talk) 17:00, 7 May 2009 (UTC)
thread_title: Is it typically y vs x or x vs y?

message: The term `graph' should really be restricted to use when referring to actual graphs: nodes and edges.  The `graph' of a function as described here is really its plot.  This is a common misconception that leads to much confusion, and it irks me that it shows up a lot, even in academia.  What would be a good way to incorporate this information while still allowing people to find what they are looking for after being told the wrong term? EmergencyBackupChicken (talk) 17:00, 7 May 2009 (UTC)
replies: text: The word graph is used in both senses in mathematics. I don't think I've ever seen plot used to refer to the graph of a function (as opposed to a graphical representation of the graph of a function). --Zundark (talk) 09:13, 8 May 2009 (UTC)
replies: text: From the linked Wolfram Mathworld article, "A graph is sometimes also called a plot." I strongly agree with EmergencyBackupChicken. As far as I can tell, the only purpose this page serves is to perpetuate the misconception that a plot of a function is a graph. I have never seen nor heard that the graph of f is the set {x, y | f(x) = y}. I can't imagine how this definition is useful. Conveniently, I can't check the references. Metaquanta (talk) 04:28, 1 November 2018 (UTC)
thread_title: Graph vs. Plot?

message: Someone else proposed that Hypograph (mathematics) and Epigraph (mathematics) be merged with each other, but I think they should both be merged here.  As far as I can tell from a textbook I looked at briefly, not much can be said about these two notions besides their definition. So I propose to merge them here as derived concepts. JMP EAX (talk) 08:27, 1 August 2014 (UTC)
replies: text: I would prefer to merge them with each other but not here. For one thing they do have some properties that are different from the graph of a function (e.g. the application to the definition of convex functions). For another, the graph of a function is a topic of great importance in elementary and secondary-school mathematics education and I think adding more advanced concepts such as epigraphs to our article will violate WP:TECHNICAL. —David Eppstein (talk) 01:47, 3 December 2014 (UTC)
replies: text: I agree with Eppstein. The notion of epigraph is quite unrelated with what is discussed in this page. --Txebixev (talk) 22:25, 25 January 2015 (UTC)

text: "Someone else proposed"? I have not found this someone else in the corresponding talk pages. --Txebixev (talk) 22:27, 25 January 2015 (UTC)
thread_title: Merge epigraph and hypograph

message: In the 'See also' section of this article, there are links to the articles Graph (mathematics) and Graph theory.  Mathematically, these have nothing to with the graph of a function, so I think there's a case for removing them.  I suppose they might possibly be useful for someone who was confused about the two uses of the word 'graph' in mathematics, but it seems to suggest a link between two areas of mathematics that isn't there.   J.Gowers  19:53, 1 May 2015 (UTC)
replies: text: by removing these links and expanding the hatnote. D.Lazard (talk) 20:38, 1 May 2015 (UTC)
thread_title: Links to pages about graph theory in the 'See also' section

message: The Mathologer mentioned graphs being invented by Nicole Oresme in his latest video so I came here to see what it said and there is nothing about it here. I'm sure that there is a lot more to it than just that but it makes me think that it would be nice to have a short history section about this subject, or to link to any existing coverage if it is already covered somewhere else that I didn't find. --DanielRigal (talk) 15:20, 21 October 2023 (UTC)
replies: text: History of the function concept is a specific article, where the contribution of Oresme is mentioned. This article was linked twice in Function (mathematics), but not in a visible way. So I added a link to the history article at the top of the infobox , and I have added this template at the beginning of Graph of a function. D.Lazard (talk) 16:58, 21 October 2023 (UTC)
thread_title:  History?