Select ALL possible answers if there is morethan one.(3-2x ifx<2[3x-7 if 2sx'Which of the following statement/s is/are NOT true of f(x)=-A. fi(2) = 3В. (Е(2) --2c.Sis differentiable at 2.D.Sis continuous at 2.E. None of the AboveADE

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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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Which of the following statements are true? There can be multiple true statements; indicate all of them. Select 3 correct answer(s) 1). If a function f(x) is differentiable at x=t, it also has to be continuous at x=t. 2). If a function f(x) is continuous at x=t, it also has to be differentiable at x=t. 3). If a function f(x) is not differentiable at x=t, it cannot be continuous at x=t. 4). If a function f(x) is not continuous at x=t, it cannot be differentiable at x=t. 5). If a function f(x) is differentiable at x=t, then the limit of f(x) as x→t is equal to f(t). 6). If the limit of f(x) as x→t is equal to f(t), then f is differentiable at x=t.
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Select ALL possible answers if there is more than one. (3-2x ifx<2 [3x-7 if 2sx' Which of the following statement/s is/are NOT true of f(x)= { A. fi(2) = 3 В. (Е(2) --2 c.Sis differentiable at 2. D. Sis continuous at 2. E. None of the Above A D E