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If a twice differentiable function f has exactly three zeros, at x=1, x=2 and x=3, then which of the following can we necessarily conclude? Select all that apply. O f' has at least two zeros in the interval (1,3). O f' has exactly one zero in the interval (1,3). O f' is never zero on the interval (1,3). O f" has at least one zero in the interval (1,3). O f" is never zero on the interval (1,3).

If a twice differentiable function f has exactly three zeros, at x=1, x=2 and x=3, then which of the following can we necessarily conclude? Select all that apply. O f' has at least two zeros in the interval (1,3). O f' has exactly one zero in the interval (1,3). O f' is never zero on the interval (1,3). O f" has at least one zero in the interval (1,3). O f" is never zero on the interval (1,3).

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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If a twice differentiable function f has exactly three zeros, at x=1, x=2 and x=3, then which of the following can we necessarily conclude? Select all that apply. O f' has at least two zeros in the interval (1,3) . O f' has exactly one zero in the interval (1,3). O f' is never zero on the interval (1, 3). f" has at least one zero in the interval (1,3). f" is never zero on the interval (1 , 3) .
Transcribed Image Text:If a twice differentiable function f has exactly three zeros, at x=1, x=2 and x=3, then which of the following can we necessarily conclude? Select all that apply. O f' has at least two zeros in the interval (1,3) . O f' has exactly one zero in the interval (1,3). O f' is never zero on the interval (1, 3). f" has at least one zero in the interval (1,3). f" is never zero on the interval (1 , 3) .
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