Math Is Fun Forum

kylekatarn

Member

Registered: 2005-07-24

Posts: 445

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Last edited by kylekatarn (2020-02-16 01:42:03)

MathsIsFun

Administrator

Registered: 2005-01-21

Posts: 7,713

Re: .

I think I could fit a polynomial to that, as there are no duplicate x-values. But the polynomial is likely to swing around a lot and also move wildly past the end points.

B-splines can do a neater job, but are not a single "function" as such, they are more like polynomial-segments (I can't remember the details, though)

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"The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  - Leon M. Lederman

mathsyperson

Moderator

Registered: 2005-06-22

Posts: 4,900

Re: .

Excel says that y=-0.1481x^4+0.6293x³+4.4564x²-12.367x-8^-10, presumably to 5 significant figures each. This is a quartic function, and even though the highest required point is 8, its highest point is almost 50, so as MathsIsFun says, there is probably a better way, involving trigonometry or something.

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Why did the vector cross the road?
It wanted to be normal.

mathsyperson

Moderator

Registered: 2005-06-22

Posts: 4,900

Re: .

You can post pictures here as long as they are viewable somewhere else on the net.

[img]link to picture[/img]

If you want to upload images from your computer, I think you need to upload them onto another site first and then link to it.

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Why did the vector cross the road?
It wanted to be normal.