Which of the following is onto function—(A) f : Z → Z, f(x) = |x|( – InterviewSolution

1.

Which of the following is onto function—(A) f : Z → Z, f(x) = |x|(B) f : N → Z, f(x) = |x|(C) f : R0 → R+, f(x) = |x|(D) f : C → R, f(x) = |x|

Answer»

Answer is (C)

f : R₀ → R⁺, f(x) = |x|

Pre-image of every positive real number is exists in domain R₀.

So, function is onto.

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