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// example: 4.22;
// piecewise quadratic interpolating polinomials:
X=[-3 -2 -1 1 3 6 7];
F=[369 222 171 165 207 990 1779];
// we need to apply legranges interpolation in sub-ranges [-3 ,-1];[-1,3],[3,7];
x=poly(0,"x");
// 1) in the range [-3,-1]
x=[-3 -2 -1];
f=[369 222 171];
n=2;
P2=lagrangefundamentalpoly(x,f,n);
// 2) in the range [-1,3]
x=[-1 1 3];
f=[171 165 207];
n=2;
P2=lagrangefundamentalpoly(x,f,n)
// 3) in the range [3,7]
x=[3 6 7];
f=[207 990 1779];
n=2;
P2=lagrangefundamentalpoly(x,f,n)
// hence, we obtain the values of f(-2.5)=48; f(6.5)=1351.5;
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