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Somebody please help me to obtain piece-wise interpolating polynomials for the function $f(x)$ defined by the below data:

$x=1$, $f(x)=3$; $x=2, f(x)=3$; $x=4, f(x)=21$; $x=8, f(x)=73$

I know the polynomial is given by $p_1i= f_i-1 +(x-x_i-1 )f(x_i-1 ,x_i)$.

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    I'm not sure what you mean by *p1i= f i-1 +(x-xi-1 )f(xi-1 ,xi)*. Please clearify that.2012-04-23

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