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**kylekatarn****Member**- Registered: 2005-07-24
- Posts: 445

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

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**MathsIsFun****Administrator**- Registered: 2005-01-21
- Posts: 7,710

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)

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

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**mathsyperson****Moderator**- Registered: 2005-06-22
- Posts: 4,900

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.

Why did the vector cross the road?

It wanted to be normal.

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**mathsyperson****Moderator**- Registered: 2005-06-22
- Posts: 4,900

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.

Why did the vector cross the road?

It wanted to be normal.

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