Find the Lagrange interpolating polynomial that passes through the data points given by the table and estimate the value of y whenever x = 1.75. Graph the Lagrange interpolating polynomial and the scatter plot of the observed data in one graph. 1 1.5 2 2.5 y 3.4 7.2 20.1 0.5 0.7 12.4

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 37E
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Find the Lagrange interpolating polynomial that passes
through the data points given by the table and estimate
the value of y whenever x = 1.75. Graph the Lagrange
interpolating polynomial and the scatter plot of the observed
data in one graph.
1
1.5
2 2.5
y
3.4
7.2
20.1
0.5
0.7
12.4
Transcribed Image Text:Find the Lagrange interpolating polynomial that passes through the data points given by the table and estimate the value of y whenever x = 1.75. Graph the Lagrange interpolating polynomial and the scatter plot of the observed data in one graph. 1 1.5 2 2.5 y 3.4 7.2 20.1 0.5 0.7 12.4
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