A) injective but not subjective
B) neither injective nor subjective
C) surjective but not injective
D) objective
Correct Answer: C
Solution :
Given, \[f(n)=\left\{ \begin{matrix} \frac{n}{2}, & n\,\,is\,even \\ 0, & n\,is\,odd \\ \end{matrix} \right.\] Here, we see that for every odd values of z, it will give zero. It means that it is a many one function. For every even values of z, we will get a set of integers \[(-\infty ,\infty )\]. So, it is onto. Hence, it is subjective but not injective.You need to login to perform this action.
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