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16. Let p(z) = (x- 1)(x – 2)(xr – 3)(x – 4). Choose the correct statement: (a) For any number u, the equation p(r) = u always has at least one real solution. (6) There is some positive number k such that whenever u is a number and -k

16. Let p(z) = (x- 1)(x – 2)(xr – 3)(x – 4). Choose the correct statement: (a) For any number u, the equation p(r) = u always has at least one real solution. (6) There is some positive number k such that whenever u is a number and -k

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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16. Let p(x) = (x – 1)(x – 2)(x – 3)(x – 4). Choose the correct statement: %3D (@) For any number u, the equation p(x) = u always has at least one real solution. (6) There is some positive number k such that whenever u is a number and -k < u<k, then the equation p(x) %3D = u has 4 distinct real solutions. (c) Both (a) and (b) are false. (d) p'(2) = 0. %3D (e) None of the above is true.
Transcribed Image Text:16. Let p(x) = (x – 1)(x – 2)(x – 3)(x – 4). Choose the correct statement: %3D (@) For any number u, the equation p(x) = u always has at least one real solution. (6) There is some positive number k such that whenever u is a number and -k < u<k, then the equation p(x) %3D = u has 4 distinct real solutions. (c) Both (a) and (b) are false. (d) p'(2) = 0. %3D (e) None of the above is true.
of these 15. Let f(x) = |x² – 3x + 2| for all x E R. Choose the correct statement: - o (a) f is differentiable at every real number t. (b) f is not differentiable at any real number t. (c) f is not differentiable at 0. (d) f is not differentiable at exactly one point. (e) none of these
Transcribed Image Text:of these 15. Let f(x) = |x² – 3x + 2| for all x E R. Choose the correct statement: - o (a) f is differentiable at every real number t. (b) f is not differentiable at any real number t. (c) f is not differentiable at 0. (d) f is not differentiable at exactly one point. (e) none of these
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