Question: Runges function is written as (x) = 1/1 + 25x2 Generate 9 equidistantly spaced values of this function over the interval: [-1, 1]. Fit this

Runge’s function is written as

ƒ(x) = 1/1 + 25x2

Generate 9 equidistantly spaced values of this function over the interval: [-1, 1]. Fit this data with

(a) An eighth-order polynomial,

(b) A linear spline, and

(c) A cubic spline. Present your results graphically.


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