The function S(x) is defined on the interval [1,3] by: (1+2x-x³ S(x) = (2-(x-1)-3(x-1)² + (x-1)³ Which of the following statements is true? S(x) is not a cubic spline because S' is not continuous at x=1. for x = [0,1] for x € [1,2] S(x) is not a cubic spline because S" is not continuous at x=1. O O S(x) is a natural cubic spline. None of the choices

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
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The function S(x) is defined on the interval [1,3] by:
(1+2x-x³
S(x) =
(2-(x-1)-3(x-1)² + (x - 1)³
Which of the following statements is true?
for x = [0,1]
for x = [1,2]
S(x) is not a cubic spline because S' is not
continuous at x=1.
S(x) is not a cubic spline because S" is not
continuous at x=1.
O None of the choices
O S(x) is a natural cubic spline.
Transcribed Image Text:The function S(x) is defined on the interval [1,3] by: (1+2x-x³ S(x) = (2-(x-1)-3(x-1)² + (x - 1)³ Which of the following statements is true? for x = [0,1] for x = [1,2] S(x) is not a cubic spline because S' is not continuous at x=1. S(x) is not a cubic spline because S" is not continuous at x=1. O None of the choices O S(x) is a natural cubic spline.
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