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Re: Inflection
Posted:
Jun 18, 2014 11:15 PM


"William Elliot" <marsh@panix.com> wrote in message news:Pine.NEB.4.64.1406181907190.6760@panix1.panix.com... > On Wed, 18 Jun 2014, John Smith wrote: > >> The function had many points of inflection but it also had points, which >> I >> presume are also called inflection points, where the gradient was >> infinite >> (i.e tending to a vertical rather than horizontal line on an x,y graph). >> >> I remember the graph looking like a staircase with rounded edges but I >> have >> completely forgotten what the function was. It's possible I have not >> remembered it correctly due to it being so long ago. >> >> Can anyone tell me what this function was or give me a similar function? > > y = sqr(1  (1 + x)^2), x in [1,0] > . = sqr(1  (1  x)^2), x in [0,1] > >
Interesting functions but the graphs don't look like what I remember.
It must have been something I could plot myself. And it likely included trigonometric functions but I'm not 100% certain.
This looks a little like what I remember: http://www.wolframalpha.com/input/?i=plot+x%2Bsin%28x%29
But although that has points of what might be called horizontal inflection it doesn't have vertical inflection.
Old Guy



