A function f from the set of natural numbers to integers defined by f(n)= array ll n-1 2…
Mathematics · JEE Main · NTA Exams — Sets, Relations and Functions
A function f from the set of natural numbers to integers defined by
\[f(n)=\left\{\begin{array}{ll} \frac{n-1}{2}, & \text { when } n \text { is odd } \\ -\frac{n}{2}, & \text { when } n \text { is even } \end{array}\right.\]
\[f(n)=\left\{\begin{array}{ll} \frac{n-1}{2}, & \text { when } n \text { is odd } \\ -\frac{n}{2}, & \text { when } n \text { is even } \end{array}\right.\]
- onto but not one-one
- one-one and onto both
- neither one-one nor onto
- one-one but not onto
Answer
(B) one-one and onto both
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