If f is a function from A to B, then F is into function if _____?
- Range f ≠ B
- Range f = B
- Domain f = B
- None of these
Explanation
A function f: A → B is into if it doesn't cover the entire codomain B, meaning there are elements in B that aren't mapped to by any element in A.
This happens when the range of f (the set of elements in B that are actually mapped to) is a proper subset of B.
Therefore, f is into if Range f ≠ B.
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