Let f : A R where A= R 0 is such that f(x)= x+|x| x . On which one of the following sets is f(x) continuous?

NDA 2016 Mathematics question

Let where is such that . On which one of the following sets is continuous?

Answer: (A)

For , ; for , . On each of these open half-lines is constant, hence continuous, so

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Question ID VK-028524