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Consider a third-degree polynomial f(z), which has the properties f'(-5) = 0, f'(-1) = 0. Determine whether the following statements are True or False: 1. f(z) = 0 for some 5 < I< - 1. O True O False 2. f''(x) = 0 for some - 5 < ¤< - 1. %3D O True O False 3. There is no absolute minimum at x = - 5 O True O False 4. If f(x) has three roots, then it has 1 inflection point. O True OFalse 5. If f(r) has one inflection point, then it has three real roots. OTrue False License VI

Consider a third-degree polynomial f(z), which has the properties f'(-5) = 0, f'(-1) = 0. Determine whether the following statements are True or False: 1. f(z) = 0 for some 5 < I< - 1. O True O False 2. f''(x) = 0 for some - 5 < ¤< - 1. %3D O True O False 3. There is no absolute minimum at x = - 5 O True O False 4. If f(x) has three roots, then it has 1 inflection point. O True OFalse 5. If f(r) has one inflection point, then it has three real roots. OTrue False License VI

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Consider a third-degree polynomial f(z), which has the properties f'(-5) = 0, f'(-1) = 0. Determine whether the following statements are True or False: 1. f(z) = 0 for some 5 < I< - 1. O True O False 2. f''(x) = 0 for some - 5 < ¤< - 1. %3D O True O False 3. There is no absolute minimum at x = - 5 O True O False 4. If f(x) has three roots, then it has 1 inflection point. O True OFalse 5. If f(r) has one inflection point, then it has three real roots. OTrue False License VI
Transcribed Image Text:Consider a third-degree polynomial f(z), which has the properties f'(-5) = 0, f'(-1) = 0. Determine whether the following statements are True or False: 1. f(z) = 0 for some 5 < I< - 1. O True O False 2. f''(x) = 0 for some - 5 < ¤< - 1. %3D O True O False 3. There is no absolute minimum at x = - 5 O True O False 4. If f(x) has three roots, then it has 1 inflection point. O True OFalse 5. If f(r) has one inflection point, then it has three real roots. OTrue False License VI
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