
Is there an equation?
I hope I can describe this well enough so that someone might be able to help me.
I'm looking for a general equation that includes, for example, the following coordinates:
(0,0)
(1,1)
(3,2)
(6,3)
(10,4)
I've figured out two ways to describe what I want. Either x = the sum of all y's less than or equal to it, or x = y plus the x immediately preceding it in the series.
I'd be most interested in whether this could be graphed as a curve.
Thanks in advance, and I hope this is clear.
Jeff Eff

Both of your explanations work, but I don't think you'll be able to graph those kinds of "functions" on any graphing utility because they are not standard ones, like sin(x), ln(x), sqrt(x), etc.

I think you can. Gragh the following equation
f (x) = [sqrt(8*x+1)1] / 2
If you look at your points, you should be able to see a quadratic equation only in reverse. (0,0) (1,1) (2,3) (3,6) (4,10)
The equation should be y = 0.5x *(x + 1), now solve for x and you should get what you want to graph
If you want the other half of the graph you will also have to graph f(x)

http://i7.photobucket.com/albums/y284/wrf01a/graph1.jpg
Without access to an equation editor, my previous post might be confusing

Oh nice catch! I didn't mean that there wasn't an answer, just that the two explanations the OP gave couldn't be graphed in that way on something like you did  the TI89 (good calculator!).

Thank You!
Yay!
That's what I was looking for. It's been awhile since I've done this kind of thing.
Jeff Eff