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Black Book Advanced Problems in MathematicsMathematicsFunctions

Which option(s) is/are true ?

Options

  1. Af: R R , f(x) = e^ |x| - e^ -x is many-one into function
  2. Bf: R R , f(x) = 2x + | x| is one-one onto
  3. Cf: R R , f(x) = x^2 + 4x + 30 x^2 - 8x + 18 is many-one onto
  4. Df: R R , f(x) = 2x^2 - x + 5 7x^2 + 2x + 10 is many-one into

Correct answer

A. f: R R , f(x) = e^ |x| - e^ -x is many-one into function

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