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Q.2 Check the injectivity and surjectivity of the following functions:

(i) f : N\rightarrow N given by f(x) = x^2


Answers (1)


f : N\rightarrow N

f(x) = x^2

One- one:

x,y \in N  then f(x)=f(y)



\therefore  f is one- one i.e. injective.

For 3 \in N there is no x in N such that f(x)=x^{2}=3

\therefore  f is not onto i.e. not surjective.

Hence, f is injective but not surjective.


Posted by

seema garhwal

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