Difference between revisions of "Talk:Graph of a function"
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I just don't see how useful knowing what a graph is if you can't draw one. --[[User:Joml88|Joe]] 11:07, 13 August 2006 (EDT) | I just don't see how useful knowing what a graph is if you can't draw one. --[[User:Joml88|Joe]] 11:07, 13 August 2006 (EDT) | ||
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+ | :To clarify, what I was saying is that the graphs are not accurate because they are not graphs, they are approximations. Take a look at the 2nd "graph". It says, | ||
+ | ''cquote|Likewise, a sign analysis on the intervals \left(-\frac 32, 1\right) and (1,∞) allows the graph to be drawn as a smooth curve curve through the zeros using this information as a guideline'' | ||
+ | Notice how this does not mention anything about drawing a '''graph''' but only describes a way to approximate one. With an actual graph, you can get the value of each point, but with these, you get different values depending on what you draw.[[User:Myself|Myself]] 19:41, 13 August 2006 (EDT) | ||
== Using ''we'' in mathematical writing == | == Using ''we'' in mathematical writing == | ||
It's ok to use the first person "we" in mathematical writing (this isn't english class :P ). Here are some references: [http://www.math.ups.edu/~bryans/Current/PDF/MTHWRT97.PDF here] and [http://www.stat.ualberta.ca/~wiens/purdue1_write.pdf here]. You can just leave the page how it is for now. --[[User:Joml88|Joe]] 11:27, 13 August 2006 (EDT) | It's ok to use the first person "we" in mathematical writing (this isn't english class :P ). Here are some references: [http://www.math.ups.edu/~bryans/Current/PDF/MTHWRT97.PDF here] and [http://www.stat.ualberta.ca/~wiens/purdue1_write.pdf here]. You can just leave the page how it is for now. --[[User:Joml88|Joe]] 11:27, 13 August 2006 (EDT) |
Revision as of 18:41, 13 August 2006
I don't think this is a very clear explanation of graphing polynomials. I think the general idea of a graph should be shown instead; explaining what a graph is (representation of f(x) vs. x), instead of having a tutorial of graphing polynomials, since the graphs drawn by these tutorials won't be really accurate anyways. What does everyone else think? Myself 01:23, 13 August 2006 (EDT)
Reply
How would you draw more accurate graphs? How accurate do the graphs need to be? What is the purpose of drawing a graph? Certainly we can't use graphs as evidence in a rigorous proof. Graphs provide a visual way to look at functions and allow for conjectures about them as one use, right? I don't see why we should take out the tutorial on graphing. Certainly please add any additional info you think is pertinent (like f(x) vs. x).
I just don't see how useful knowing what a graph is if you can't draw one. --Joe 11:07, 13 August 2006 (EDT)
- To clarify, what I was saying is that the graphs are not accurate because they are not graphs, they are approximations. Take a look at the 2nd "graph". It says,
cquote|Likewise, a sign analysis on the intervals \left(-\frac 32, 1\right) and (1,∞) allows the graph to be drawn as a smooth curve curve through the zeros using this information as a guideline Notice how this does not mention anything about drawing a graph but only describes a way to approximate one. With an actual graph, you can get the value of each point, but with these, you get different values depending on what you draw.Myself 19:41, 13 August 2006 (EDT)
Using we in mathematical writing
It's ok to use the first person "we" in mathematical writing (this isn't english class :P ). Here are some references: here and here. You can just leave the page how it is for now. --Joe 11:27, 13 August 2006 (EDT)