Let P2(x) be the interpolating polynomial for f(x) at xo = 0.5, x1 = 1.2, and x2 = 2. Find a bound on the error of approximation for 0.5 < x<2. |P(x) – f(x)| <

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 52E
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Consider the function
f(x) = 1.2 x – 2.
Let P(x) be the interpolating polynomial for f(x) at xo = 0.5, x1 = 1.2, and x2 = 2.
Find a bound on the error of approximation for 0.5 < x<2.
|P(x) – f(x)| <
Enter your final answers to at least the fifth decimal place.
Transcribed Image Text:Consider the function f(x) = 1.2 x – 2. Let P(x) be the interpolating polynomial for f(x) at xo = 0.5, x1 = 1.2, and x2 = 2. Find a bound on the error of approximation for 0.5 < x<2. |P(x) – f(x)| < Enter your final answers to at least the fifth decimal place.
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