Let f(x) be a function that passes through five points (-5,–8),(-3,1),(0,–2), (4, –5),(6,7) ind the function, p(x) (of degree 4) that passes through these five points using a.) Lagrange's interpolation formula b.) Newton's interpolation formula c.) Interpolate f(2.5) using both methods

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 51E
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Let f(x) be a function that passes through five points
(-5, –8), (–3,1),(0,–2), (4, –5),(6,7)
Find the function, p(x) (of degree 4) that passes through these five points using
a.) Lagrange's interpolation formula
b.) Newton's interpolation formula
c.) Interpolate f(2.5) using both methods
Transcribed Image Text:Let f(x) be a function that passes through five points (-5, –8), (–3,1),(0,–2), (4, –5),(6,7) Find the function, p(x) (of degree 4) that passes through these five points using a.) Lagrange's interpolation formula b.) Newton's interpolation formula c.) Interpolate f(2.5) using both methods
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