Given the tabulated function f(x) -1 2 3 4 f(x) a) Use Newton's Divided Difference Method to obtain a polynomial to interpolate the data. b) Use the obtained function to estimate f(5). 7 9. 1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 27RE
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Given the tabulated function f(x)
-1
2
3
4
f(x)
a) Use Newton's Divided Difference Method to obtain a polynomial to interpolate the data.
7
9.
1
b) Use the obtained function to estimate f(5).
Transcribed Image Text:Given the tabulated function f(x) -1 2 3 4 f(x) a) Use Newton's Divided Difference Method to obtain a polynomial to interpolate the data. 7 9. 1 b) Use the obtained function to estimate f(5).
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