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Topic: Inflection
Replies: 16   Last Post: Jun 19, 2014 1:07 PM

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Marnie Northington

Posts: 691
Registered: 12/13/04
Re: Inflection
Posted: Jun 18, 2014 11:15 PM
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"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





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