Q.9
Let be defined by
for all .
State whether the function f is bijective. Justify your answer.
,
Here we can observe,
and
As we can see but
f is not one-one.
Let, (N=co-domain)
case1 n be even
For ,
then there is such that
case2 n be odd
For ,
then there is such that
f is onto.
f is not one-one but onto
hence, the function f is not bijective.