Here we can construct our own polynomial $y(x)$ up to some large number of orders. The function has the form: $$y = c_0 + c_1(x-a) + c_2(x-a)^2 + c_3(x-a)^3 + c_4(x-a)^4 + c_5(x-a)^5 + c_6(x-a)^6 + c_7(x-a)^7 + c_8(x-a)^8 + c_9(x-a)^9\nonumber$$
 
Limits in x: to
Display in y: to
Number of points: a:
$c_0$
$c_1$
$c_2$
$c_3$
$c_4$
$c_5$
$c_6$
$c_7$
$c_8$
$c_9$