Corroborating with Graphs

[Eshai]

For those of you who work with graphs, or have an interest in plotting lines or shapes and seeing their numerical significances (or vice versa)...

http://www.desmos.com/calculator

Myself and a few associates use this free online program and share a single account between ourselves. Graphs, text, and data can be input into the fields and saved. It's a good resource.

[Ghislain]

Playing around with it I got this...

Graph

Pretty

My results were just random messing...have no idea what I was doing...what sort of thing do you use it for Eshai?

Edit: One thing I noticed is that I have included a divide by "x" in all three equations and as "x" tends to zero I would expect "y" to tend to infinity,
but this doesn't happen in equation 2...why is that?

Edit 2: think I sussed it...the result of the numerator is already zero as the denominator tends to zero and so we have 0/0 which is undetermined...I think.


Ghislain

[Eshai]

We used it to determine significant numerical relationships contained within a symbol that was supposedly given to my associate by the forces of Darkness. By graphing the lines that comprised the symbol, we were able to determine their relationships. We were also able to determine sound tones from graphing the trig functions made up by certain parts of the symbol, all of which corresponded to certain psychological meanings. This is, in fact, still a work in progress, as it seems there is much to be determined. The sharing of this resource is what allowed us to quickly do as much as we did.

As for your question, Ghislain, that is happening because you have the -x/2, and have squared the numerator. So there's no way the result could be 1 (which is what would allow the graph of y to tend to infinity). When you have anything that yields zero (the graph of 0), there is no graph (and the "result" will be 0), so that isn't the case here. Those are pretty graphs. =) Glad to see more folks with an appreciation for math.