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Paragraph: Let f be a function defined so that every element of the co-domain has at most two pre-images and there is at least one element in the co-domain which has exactly two pre-images we shall call this function as "two-one" function. A two-one function is definitely a many one function but vice-versa is not true. For example, y= |e^x-1 | is a "two-one" function. y=x^3-x is a many one function but not a "two-one

Options

  1. A[ 1 2 , 5 2 ]
  2. B[- 1 2 , 3 2 )
  3. C[1,2)
  4. Dnone of these

Correct answer

B. [- 1 2 , 3 2 )

Step-by-step solution

From graph it is clear that any horizontal lines cuts the graph at either one or two points between [- 1 2 , 3 2 )

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