x  - 0,2 0,1 0,3 f(x)  1,1 1,2 1,4   Leveraging the dataset a) f (x) value corresponding to a desired x value for interpolation purposes. With Lagrange interpolation b) The corresponding f (x) value for a desired x value for extrapolation purposes. Find the Newtonian shape by interpolation.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 9E
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- 0,2 0,1 0,3
f(x)  1,1 1,2 1,4

 

Leveraging the dataset

a) f (x) value corresponding to a desired x value for interpolation purposes. With Lagrange interpolation

b) The corresponding f (x) value for a desired x value for extrapolation purposes. Find the Newtonian shape by interpolation.

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