(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

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A: Thanks for the question :)And your upvote will be really appreciable ;)

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Q: (C0]) }

A: The statement is false. Consider f:[0,1]→ℝ defined as f(x)=tan-1πx2   x∈[0,1)0              x=1

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A: We can find the answers as below.

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A: Consider the function f:R->R defined by:

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A: Injective Function.

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