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).
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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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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