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Mathematics
Problem
Let
A
=
{
a
,
b
,
c
}
A=\{a,b,c\}
A
=
{
a
,
b
,
c
}
and
B
=
{
1
,
2
,
3
}
B=\{1,2,3\}
B
=
{
1
,
2
,
3
}
. A relation
F
F
F
is defined by the mappings
a
↦
1
a\mapsto 1
a
↦
1
,
b
↦
2
b\mapsto 2
b
↦
2
,
c
↦
2
c\mapsto 2
c
↦
2
. Answer the following: a. (i) Is
F
F
F
a function from
A
A
A
to
B
B
B
? State your answer with reason. b. (ii) Write the range of
F
F
F
.
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