steph is fixed, show that both 3-terms Newton forward interpolation formula and Lagrange interpolation formula provide the same value for f(x). (hint: use x as the initial point) X₂ X3 X4 X5 f₂ f3 f₁ fs X f X1 f₁

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
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Chapter10: Radical Functions And Equations
Section: Chapter Questions
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Given the following table of data. Assuming x lies between x₁ and x2 and the step h is
fixed, show that both 3-terms Newton forward interpolation formula and Lagrange
interpolation formula provide the same value for f(x). (hint: use x₁ as the initial point)
X2
X4
f₂
f₁
X
f
X1
f₁
X3
f3
X5
fs
Transcribed Image Text:Given the following table of data. Assuming x lies between x₁ and x2 and the step h is fixed, show that both 3-terms Newton forward interpolation formula and Lagrange interpolation formula provide the same value for f(x). (hint: use x₁ as the initial point) X2 X4 f₂ f₁ X f X1 f₁ X3 f3 X5 fs
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