Lagrange Interpolating Polynomial Problem Suppose that the Lagrange polynomial passes through the data points (2, 9), (4, 11) and (5, 13) is given by f(x) = L₁(x)yı + L₂(x) y2 + L3(x) y3. What is the value of L₁ (x) at x = 3? a. 3 b. -3 c. 1/3 d. -1/3

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.5: Systems Of Linear Equations In More Than Two Variables
Problem 43E
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Lagrange Interpolating Polynomial Problem
Suppose that the Lagrange polynomial passes
through the data points (2, 9), (4, 11) and (5, 13)
is given by f(x)
=
L₁(x)yı + L₂(x) y2 +
L3(x) y3.
What is the value of L₁ (x) at x = 3?
a. 3
b. -3
c. 1/3
d. -1/3
Transcribed Image Text:Lagrange Interpolating Polynomial Problem Suppose that the Lagrange polynomial passes through the data points (2, 9), (4, 11) and (5, 13) is given by f(x) = L₁(x)yı + L₂(x) y2 + L3(x) y3. What is the value of L₁ (x) at x = 3? a. 3 b. -3 c. 1/3 d. -1/3
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