(8) A space X is connected space IFF every continuous funetion f:X → D, Where D-(0,1} with discrete topology is: (a) Constant function (b) Not constant function (c) Don not has the intermediate property (d) Non of above

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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(8) A space X is connected space IFF every continuous function f:X → D, Where D-(0,1} with discrete
topology is:
(a) Constant function
(b) Not constant function
(c) Don not has the intermediate property
(d) Non of above
Transcribed Image Text:(8) A space X is connected space IFF every continuous function f:X → D, Where D-(0,1} with discrete topology is: (a) Constant function (b) Not constant function (c) Don not has the intermediate property (d) Non of above
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