Question

Can some one help me find the equation of the data table:

Answer 1

@sammixboo

Answer 2

That would be great!

Answer 3

@coolman500

Answer 4

@ybarrap

Answer 5

Here are the points of our function.
$$
\begin{matrix}
x&f(x)\\
0&30\\
.2&44\\
.4&55\\
.6&68\\
.8&66\\
1.0&54\\
1.2&39\\
1.4&37\\
1.6&26\\
1.8&25\\
2.0&40\\
\end{matrix}
$$
Using polynomial interpolation ( http://en.wikipedia.org/wiki/Polynomial_interpolation) we find:
$$
f(x)=-3049.07 x^{10}+29772.1 x^9-124554. x^8+292150. x^7-\\
422024. x^6+387805. x^5-225326. x^4+78950.4 x^3-14891.2 x^2+\\
1190.22 x+30
$$
Here is a plot of this function that shows your points coinciding.

http://www.wolframalpha.com/input/?i=interpolate+polynomial&f1=%7B%7B0%2C30%7D%2C%7B0.2%2C44%7D%2C%7B0.4%2C55%7D%2C%7B0.6%2C68%7D%2C%7B0.8%2C66%7D%2C%7B1.0%2C54%7D%2C%7B1.2%2C39%7D%2C%7B1.4%2C37%7D%2C%7B1.6%2C26%7D%2C%7B1.8%2C25%7D%2C%7B2.0%2C40%7D%7D&f=InterpolatingPolynomialCalculator.data2_%7B%7B0%2C30%7D%2C%7B0.2%2C44%7D%2C%7B0.4%2C55%7D%2C%7B0.6%2C68%7D%2C%7B0.8%2C66%7D%2C%7B1.0%2C54%7D%2C%7B1.2%2C39%7D%2C%7B1.4%2C37%7D%2C%7B1.6%2C26%7D%2C%7B1.8%2C25%7D%2C%7B2.0%2C40%7D%7D&a=*FVarOpt.1-_***InterpolatingPolynomialCalculator.data2--.***InterpolatingPolynomialCalculator.data---.*--

Hope this helps.