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A function f(x) is continuous on the real numbers and has the following features about the point x = a : f(a) = = b ● f'(a) does not exist Which of the following is always FALSE about the point x = a ? Select one alternative: The function f(x) is continuous but not differentiable at (a, b). The graph of f(x) has a corner at the point (a, b). The function f(x) is defined at the point (a, b). O The graph of f(x) will show a smooth curve as it passes through the point (a, b).

A function f(x) is continuous on the real numbers and has the following features about the point x = a : f(a) = = b ● f'(a) does not exist Which of the following is always FALSE about the point x = a ? Select one alternative: The function f(x) is continuous but not differentiable at (a, b). The graph of f(x) has a corner at the point (a, b). The function f(x) is defined at the point (a, b). O The graph of f(x) will show a smooth curve as it passes through the point (a, b).

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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A function f(x) is continuous on the real numbers and has the following features about the point x = a : f(a) = = b ● f'(a) does not exist Which of the following is always FALSE about the point x = a ? Select one alternative: The function f(x) is continuous but not differentiable at (a, b). The graph of f(x) has a corner at the point (a, b). The function f(x) is defined at the point (a, b). O The graph of f(x) will show a smooth curve as it passes through the point (a, b).
Transcribed Image Text:A function f(x) is continuous on the real numbers and has the following features about the point x = a : f(a) = = b ● f'(a) does not exist Which of the following is always FALSE about the point x = a ? Select one alternative: The function f(x) is continuous but not differentiable at (a, b). The graph of f(x) has a corner at the point (a, b). The function f(x) is defined at the point (a, b). O The graph of f(x) will show a smooth curve as it passes through the point (a, b).
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