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(a) Suppose f(x) is the function represented by the following graph. 0 Based only on the information you have, which of the following polynomials could be the Taylor polynomial of f of degree 5 centered at 0? Explain your answer. i. T5(x) = 1 x + 2x²+2x5 ii. T5(x) = 1 - 2x - x²-x² iii. T5(x)=2x- 2x² + x4 iv. T5(x) = 1+x=x²-x5

(a) Suppose f(x) is the function represented by the following graph. 0 Based only on the information you have, which of the following polynomials could be the Taylor polynomial of f of degree 5 centered at 0? Explain your answer. i. T5(x) = 1 x + 2x²+2x5 ii. T5(x) = 1 - 2x - x²-x² iii. T5(x)=2x- 2x² + x4 iv. T5(x) = 1+x=x²-x5

College Algebra
College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter5: Polynomial And Rational Functions
Section: Chapter Questions
Problem 17PT: Given the following information about a polynomial function, find the function. It has a double zero...
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(a) Suppose f(x) is the function represented by the following graph. Based only on the information you have, which of the following polynomials could be the Taylor polynomial of f of degree 5 centered at 0? Explain your answer. i. T5(x) = 1 x + 2x²+2x5 ii. T5(x) = 1 - 2x - x² x4 iii. T5(x) = 2x2x² + x² iv. T5(x) = 1 + x - x²-x5
Transcribed Image Text:(a) Suppose f(x) is the function represented by the following graph. Based only on the information you have, which of the following polynomials could be the Taylor polynomial of f of degree 5 centered at 0? Explain your answer. i. T5(x) = 1 x + 2x²+2x5 ii. T5(x) = 1 - 2x - x² x4 iii. T5(x) = 2x2x² + x² iv. T5(x) = 1 + x - x²-x5
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