I am working on this question "identify whether it is a function and, if your answer is yes, identify 1) its image and whether it is 2) injective, 3) surjective, 4) bijective." For (a), my answer is that this is a function but it is neither injective or surjective, since there is case where different x in set A have same result of f(x) like f(1.1) and f(1.2) would have same result. And not all element in set B can be obtain since non-integer number cannot be obtain. Is there anything I get wrong here? I am not so sure about my understanding of injective and surjective, is injective about every element in set A can have different output of F(x)? Also for surjective is it just all elements in set B has at least one x in set A that F(x) can obtain it? Can someone please clarify for me, Many Thanks!!
$\endgroup$ 1 Reset to defaultQuestions on logic of function injective, surjective and bijective
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