For a given function f(x), the divided-differences table is given by: оо An approximation of f(1) is: OO 1/2 7/2 11/2 Xo = 0 x₁ = 1 21/2 x2 = 2 f[x] = -1 f[x₁] = 2 f[x₂] = 0 f[xo.x₁] = 3 f[x₁,x₂]=-2 5 f[x0, x₁, x₂] = -2

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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For a given function f(x), the divided-differences table is given by:
1/2
An approximation of f(1) is:
7/2
11/2
Xo = 0
*₁ = 1
O 21/2
x2 = 2
f[x] = -1
f[x] = 2
f[x₂] = 0
f[xo.x₁] = 3
f[x₁.x₂] = -2 f[x0, x₁, x₂] =
5
Transcribed Image Text:For a given function f(x), the divided-differences table is given by: 1/2 An approximation of f(1) is: 7/2 11/2 Xo = 0 *₁ = 1 O 21/2 x2 = 2 f[x] = -1 f[x] = 2 f[x₂] = 0 f[xo.x₁] = 3 f[x₁.x₂] = -2 f[x0, x₁, x₂] = 5
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