2 A We Know That For Certain Examples Of F The Lagrange Polynomials May Not Provide A Good Approximation For F Suppo 1 (40.8 KiB) Viewed 37 times
2. a. We know that for certain examples of f, the Lagrange polynomials may not provide a good approximation for f. Suppose that -1 = to <31 <... < In = 1 are equally spaced, and 1 f(x) = Interpolate f on (-1,1] with a polynomial p of degree n=6 1 + 25.22 solve for the polynomial coefficients. graph the Lagrange polynomial of degree n= 6 and f(x) on the same set of axes for -1<x<1.
1 b. Another choice for approximating f(x) = on (-1,1] would be to use a natural cubic spline. 1 + 25.22 construct the natural cubic spline to approximate f on (-1,1] where -1 = xo <31 <...<In 1 are equally spaced and n = 6. graph f(x) and the cubic spline you found on the same set of axes for -1 <r<1.
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