Which of the following function f: Z X Z → Z is not onto?a.f(a, B) = a – bb.f(a, B) = |b|c.f(a, B) = a + bd.f(a, B) = a
Question
Which of the following function f: Z X Z → Z is not onto?a.f(a, B) = a – bb.f(a, B) = |b|c.f(a, B) = a + bd.f(a, B) = a
Solution
The function that is not onto is b.f(a, B) = |b|.
An onto function (or surjective function) is a function where every element in the codomain is the image of at least one element from the domain. In other words, every element in the set that the function maps to (Z in this case) must be associated with at least one element from the set the function is mapping from (Z x Z in this case).
For the function f(a, B) = |b|
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