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BITSAT2017MathematicsFunctionsActual

Let A = - 1 , 1 and f : A → A be defined as f x = x x for all x ∈ A , then f x is

Options

  1. Amany one and into function
  2. Bone-many and into function
  3. Cmany-one and into function
  4. Done-one and onto function

Correct answer

D. one-one and onto function

Step-by-step solution

f x = x x = x 2 , x ≥ 0 - x 2 , x < 0 Since, - 1 ≤ x ≤ 1 , therefore - 1 ≤ f x ≤ 1 ∴ Function is one-one and onto.

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