The data of 1 graph line increases the other two decrease. This relates two the map we looked at in the classroom because it relates two topics together in a logistic curve.
It looks almost like a piecewise function to me. Each line connects and has a definite turning point that doesn't seem to fit any I know. Or actually now that I look at it again, if you turn it sideways, then it looks like a bunch of exponential functions with asymptotes.
If you rotate the picture to the left by 90 degrees, the two most prominent lines seem to be inverse exponential functions... There seems to be symmetry throughout the picture which relates to the symmetry we observed and studied during class.
Gus-Squared, An astute observation: Should you investigate this model further, you will find certain symmetries, albeit slightly more abstract than those we've studied thus far. Keep looking!
This looks like a map of logistic curves that reach maximum points within the parameters of the "outlining" lines (or are these curves?) and then fall, creating the intersecting pattern. I was also under the impression that logistic curves were not necessarily symmetrical after the point at which the exponential curve inflects.
The data of 1 graph line increases the other two decrease. This relates two the map we looked at in the classroom because it relates two topics together in a logistic curve.
ReplyDeleteBut this looks nothing like the logistic curve from class...perhaps someone can add our class example for comparison?
ReplyDeleteIt looks almost like a piecewise function to me. Each line connects and has a definite turning point that doesn't seem to fit any I know. Or actually now that I look at it again, if you turn it sideways, then it looks like a bunch of exponential functions with asymptotes.
ReplyDeleteTeddy,
ReplyDeleteIt does appear to be piecewise, but remarkably this behavior can be described by one function!
I kinda looks like the transcendental graph we discussed in class with the inverse.
ReplyDeleteIf you rotate the picture to the left by 90 degrees, the two most prominent lines seem to be inverse exponential functions... There seems to be symmetry throughout the picture which relates to the symmetry we observed and studied during class.
ReplyDeleteGus-Squared,
ReplyDeleteAn astute observation: Should you investigate this model further, you will find certain symmetries, albeit slightly more abstract than those we've studied thus far.
Keep looking!
Inside of the shaded region there seems to be sign curves, or parabola's.
ReplyDeleteThis looks like a map of logistic curves that reach maximum points within the parameters of the "outlining" lines (or are these curves?) and then fall, creating the intersecting pattern. I was also under the impression that logistic curves were not necessarily symmetrical after the point at which the exponential curve inflects.
ReplyDelete