Problem 6: Interpolation, least squares, and finite difference Consider the following data table: 0. 2.400 0.4 2.789 f(x) = 0.8 3.117 |1.2 3.332 A cubic spline interpolation over these data O is constructed as a cubic polynomial interpolating over all 4 data points. O None of the above. O is constructed by piece-wise locally cubic polynomial interpolation that has discontinuous first and second derivatives at the data points. 1s constructed by piece-wise locally cubic polynomial interpolation that maintains continuity of the first and second derivatives at the data points.

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