If f(x) = [|x|], where : denotes the greatest integer function, then which of the following is not true? (1) f(x) is continuous Va ER (2) f(x) is continuous from right and discontinuous from left Vr E N (3) f(x) is continuous from left and discontinuous from right Vr € I (4) f(x) is continuous at a = 0. %3D

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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If f(x) = [[a], where [:] denotes the greatest integer function, then which of the following is not true?
(1) f(x) is continuous Va e R
(2) f(x) is continuous from right and discontinuous from left Vx E N
(3) f(x) is continuous from left and discontinuous from right Vx E I
(4) f(x) is continuous at x = 0.
%3D
Transcribed Image Text:If f(x) = [[a], where [:] denotes the greatest integer function, then which of the following is not true? (1) f(x) is continuous Va e R (2) f(x) is continuous from right and discontinuous from left Vx E N (3) f(x) is continuous from left and discontinuous from right Vx E I (4) f(x) is continuous at x = 0. %3D
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