Question: Find the cubic spline to the given data with (k_{0}=-2) and (k_{2}=-14). Data: (f_{0}=) (f(-2)=1, f_{1}=f(0)=5, f_{2}=f(2)=17). What is the advantage of a spline fit

Find the cubic spline to the given data with \(k_{0}=-2\) and \(k_{2}=-14\). Data: \(f_{0}=\) \(f(-2)=1, f_{1}=f(0)=5, f_{2}=f(2)=17\). What is the advantage of a spline fit compared to a Lagrange polynomial for interpolation?

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