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Byju's Answer
Standard XII
Mathematics
Pre-Image
f = a, 2 2, 4...
Question
f = {(a, 2) {(2, 4) {(2, 5) {(3, 9)}, is its function or not (T/F)
A
True
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B
False
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C
Uncertain
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D
None of these
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Solution
The correct option is
D
False
f
=
{
(
a
,
2
)
(
2
,
4
)
(
2
,
5
)
(
3
,
9
)
}
Hence
′
f
′
is not a function as one of the input (i.e.,
2
) has two possible values.
Answer:-
B
.
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0
Similar questions
Q.
Let f = {(2, 7), (3, 4), (7, 9), (-1, 6), (0, 2), (5,3)} be a function from A = {-1,0, 2, 3, 5, 7} to B = {2, 3, 4, 6, 7, 9}. Identify the type of function.
Q.
Let f = { (2, 7), (3, 4), (7, 9), (-1, 6), (0, 2), (5, 3) } be a function from A = { -1, 0, 2, 3, 5, 7 } to B = { 2, 3, 4, 6, 7, 9 }. Is this (i) an one-one function (ii) an onto function (iii) both one-one and onto function?
Q.
Which of the following relations are functions from A = { 1, 4, 9, 16 } to B = { -1, 2, -3, -4, 5, 6 }. In case of a function, write down its range.
f
3
= { (4, 2), (1, 2), (9, 2), (16, 2) }.
Q.
Let
A
=
{
1
,
2
,
3
,
4
}
,
B
=
{
1
,
5
,
9
,
11
,
15
,
16
}
and
f
=
{
(
1
,
5
)
,
(
2
,
9
)
,
(
3
,
1
)
,
(
4
,
5
)
,
(
2
,
11
)
}
Are the following true?
(i)
f
is a relation from
A
to
B
(ii)
f
is a function from
A
to
B
Justify your answer in each case
Q.
Which of the following relations are functions from A = { 1, 4, 9, 16 } to B = { -1, 2, -3, -4, 5, 6 }. In case of a function, write down its range.
f
4
= { (1, 2), (4, 5), (9, -4), (16, 5) }
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