let f(x)=ex for 0 < x < 1 Approximate f(0.25) using linear interpolation with x0=0  and x1=0.5 . Approximate f(0.75)  using linear interpolation with x0=0.5  and x1=1 Approximatef(0.25) and f(0.75) using quadratic interpolation with  x0=0  and x1=0.5 and x2=1 Which is the better approximation??

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
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let f(x)=ex for 0 < x < 1

Approximate f(0.25) using linear interpolation with x0=0  and x1=0.5 .

Approximate f(0.75)  using linear interpolation with x0=0.5  and x1=1

Approximatef(0.25) and f(0.75) using quadratic interpolation with  x0=0  and x1=0.5 and x2=1

Which is the better approximation??

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