Let A=7,8,9 and B=7,8,9 and f is onto from A to B, then which of the following is correct?*f is bijectivef is surjectivef may or may not be bijectivef is into function
Question
Let A=7,8,9 and B=7,8,9 and f is onto from A to B, then which of the following is correct?*f is bijectivef is surjectivef may or may not be bijectivef is into function
Solution
The correct answer is "f is bijective".
Here's why:
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The function f is defined from set A to set B. Both sets A and B have the same elements {7,8,9}.
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The function f is given to be onto, also known as surjective. A function is surjective if for every element in the co-domain (set B in this case), there is at least one element in the domain (set A in this case) that gets mapped to it. Since all elements in set B are covered by set A, the function is surjective.
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For a function to be bijective, it has to be both injective (one-to-one) and surjective (onto). Since we know the function is surjective, we only need to
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