True or False: This piecewise polynomial is a cubic spline: 1+x+x²+x³, if 0≤ x ≤ 1 4+ (x-1) + (x-1) 2+ (x-1) ³, if 1 ≤ x ≤ 2 s(x)
True or False: This piecewise polynomial is a cubic spline: 1+x+x²+x³, if 0≤ x ≤ 1 4+ (x-1) + (x-1) 2+ (x-1) ³, if 1 ≤ x ≤ 2 s(x)
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter4: Polynomials
Section4.6: Multiplying Polynomials
Problem 48WE
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Question
Why is this not a cubic spline?
Transcribed Image Text:True or False: This piecewise polynomial is a cubic spline:
1+x+x²+x³, if 0≤ x ≤ 1
2
4+ (x-1) + (x-1) ²+ (x − 1) ³, if 1 ≤ x ≤ 2
-
s(x) =
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