Consider the interpolating polynomial for f(x) = 15 with interpolation nodes x = 0, 2, 4, 6, 8, 10. x+5 (a) Find an upper bound for the interpolation error at x = 1. (b) Find an upper bound for the interpolation error at x = 5. (c) Find an upper bound for the interpolation error for 0 < x < 10.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 4E
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Consider the interpolating polynomial for f(x) = 5 with interpolation
nodes x = 0, 2, 4, 6, 8, 10.
1
x+5
(a) Find an upper bound for the interpolation error at x = 1.
(b) Find an upper bound for the interpolation error at x = 5.
(c) Find an upper bound for the interpolation error for 0 ≤ x ≤ 10.
Transcribed Image Text:Consider the interpolating polynomial for f(x) = 5 with interpolation nodes x = 0, 2, 4, 6, 8, 10. 1 x+5 (a) Find an upper bound for the interpolation error at x = 1. (b) Find an upper bound for the interpolation error at x = 5. (c) Find an upper bound for the interpolation error for 0 ≤ x ≤ 10.
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