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Complex Numbers

Which of the ...

Question

Which of the following is not a real valued function?

f :N → N

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f :R → R

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f :{1+i,i,,2i} → C where i is √-1 and C is the set of complex numbers

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f :Q → Q

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Solution

The correct option is
C

f :{1+i,i,,2i} → C where i is √-1 and C is the set of complex numbers
A function that has either R or one of its subsets as its range is called real valued function.
Here, the Range is complex number, so it is not a real valued function.

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