If f - N - N be a function defined by f x - left begin matrix n 2- -if n n is uevenA- one-one and ontoB- ontoC- one-oneD- neither one-one nor onto

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Byju's Answer

Standard XII

Mathematics

Continuity at a Boundary

If f : N → N ...

Question

If f: N $\to$ N be a function defined by f (x) = ${\begin{matrix} \frac{n + 1}{2}, & i f n i s o d d \frac{n}{2}, & i f n i s e v e n \end{matrix}$ , the f is

one-one

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onto

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one-one and onto

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neither one-one nor onto

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Solution

The correct option is B
onto

on to as the range = N but not one-one

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Similar questions

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Let $f : N \to N$ be defined by $f (n) = {\begin{matrix} \frac{n + 1}{2}, & i f n i s o d d \frac{n}{2}, & i f n i s e v e n \end{matrix}$
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Q. Let

f : R \to R

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If f: N → N be a function defined by f (x) ={n+12,if n is oddn2,if n is even , the f is

The correct option is B onto on to as the range = N but not one-one

If f: N $\to$ N be a function defined by f (x) = ${\begin{matrix} \frac{n + 1}{2}, & i f n i s o d d \frac{n}{2}, & i f n i s e v e n \end{matrix}$ , the f is

The correct option is B
onto

on to as the range = N but not one-one