Consider the data about f(x) and its derivatives given below. rƒ(x) ƒ'(x) ƒ"(x) 0 1 14 -1 5 8 6 Let p(x) denote the polynomial of the lowest degree that interpolates f on the nodes { 0, 1, 1, 0, 1 }. Determine the value p(-1).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 47E
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Consider the data about f(x) and its derivatives given below.
x f(x) f'(x) f"(x)
0
1
14
-1
1
6
5
8
Let p(x) denote the polynomial of the lowest degree that interpolates f on the nodes {0, 1, 1, 0, 1}.
Determine the value p(-1).
Transcribed Image Text:Consider the data about f(x) and its derivatives given below. x f(x) f'(x) f"(x) 0 1 14 -1 1 6 5 8 Let p(x) denote the polynomial of the lowest degree that interpolates f on the nodes {0, 1, 1, 0, 1}. Determine the value p(-1).
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