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Math Help - Cubic Spline Function

  1. #1
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    Cubic Spline Function

    s(x) = { -5 + 8x - 6x^2 + 2x^3, 1<=x<=2
    { 27 - 40x + 18x^2 - 2x^3, 2<=x<=3

    Verify that s(x) is a cubic spline function on [1,3]. Is it a natural cubic spline function on this interval.
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  2. #2
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    Quote Originally Posted by jzellt View Post
    s(x) = { -5 + 8x - 6x^2 + 2x^3, 1<=x<=2
    { 27 - 40x + 18x^2 - 2x^3, 2<=x<=3

    Verify that s(x) is a cubic spline function on [1,3]. Is it a natural cubic spline function on this interval.
    Do you know the definitions of "cubic spline" and "natural cubic spline"? This looks to me like just a matter of verifying that the definitions are satisfied.
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