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Mathematics
Problem
Let
f
:
A
→
B
f:A\to B
f
:
A
→
B
where
A
=
{
1
,
2
,
3
,
4
}
A=\{1,2,3,4\}
A
=
{
1
,
2
,
3
,
4
}
and
B
=
{
a
,
b
,
c
}
B=\{a,b,c\}
B
=
{
a
,
b
,
c
}
be defined by
f
(
1
)
=
a
,
f
(
2
)
=
b
,
f
(
3
)
=
b
,
f
(
4
)
=
c
f(1)=a,\,f(2)=b,\,f(3)=b,\,f(4)=c
f
(
1
)
=
a
,
f
(
2
)
=
b
,
f
(
3
)
=
b
,
f
(
4
)
=
c
. Which statement about
f
f
f
is true? a)
Neither injective nor surjective
\text{Neither injective nor surjective}
Neither injective nor surjective
b)
Surjective but not injective
\text{Surjective but not injective}
Surjective but not injective
c)
Injective but not surjective
\text{Injective but not surjective}
Injective but not surjective
d)
Bijective
\text{Bijective}
Bijective
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