Let P(x) be the Lagrange interpolating polynomial of 1 f(x) = 3x² + 2 at the points x, = 0; x, = 1 and x, = 3. If P(x) is used to approximate f(x)., then an approximation of f (2) is most nearly: O 11/105 O 13/290 O 1/10 O 1/15

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 P(x) be the Lagrange interpolating polynomial of
1
f(x) = 3x2 + 2
at the points xo = 0; x, = 1 and x, = 3. If P(x) is used to approximate f(x), then an
approximation of f(2) is most nearly:
11/105
13/290
1/10
O 1/15
Transcribed Image Text:Let P(x) be the Lagrange interpolating polynomial of 1 f(x) = 3x2 + 2 at the points xo = 0; x, = 1 and x, = 3. If P(x) is used to approximate f(x), then an approximation of f(2) is most nearly: 11/105 13/290 1/10 O 1/15
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