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Mathematics
Problem
Let
A
=
{
1
,
2
,
3
}
A=\{1,2,3\}
A
=
{
1
,
2
,
3
}
and
B
=
{
a
,
b
,
c
,
d
}
B=\{a,b,c,d\}
B
=
{
a
,
b
,
c
,
d
}
, and define a function
f
:
A
→
B
f:A\to B
f
:
A
→
B
by
f
(
1
)
=
a
f(1)=a
f
(
1
)
=
a
,
f
(
2
)
=
c
f(2)=c
f
(
2
)
=
c
,
f
(
3
)
=
d
f(3)=d
f
(
3
)
=
d
. Which of the following correctly describes
f
f
f
? a)
Onto but not one–one
\text{Onto but not one–one}
Onto but not one–one
b)
Neither one–one nor onto
\text{Neither one–one nor onto}
Neither one–one nor onto
c)
One–one but not onto
\text{One–one but not onto}
One–one but not onto
d)
Both one–one and onto
\text{Both one–one and onto}
Both one–one and onto
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