1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XII
Mathematics
Range
If A =1,2,3,4...
Question
If
A
=
{
1
,
2
,
3
,
4
}
,
B
=
{
1
,
2
,
3
,
4
,
5....25
}
and
f
:
A
→
B
is a function such that
f
(
x
)
=
x
2
,
then the number of elements in the range of
f
(
x
)
is
Open in App
Solution
∵
f
(
x
)
=
x
2
and
f
:
A
→
B
∴
range is
f
(
A
)
=
{
1
,
4
,
9
,
16
}
Hence required number of element
=
4
Suggest Corrections
2
Similar questions
Q.
If
A
=
{
1
,
2
,
3
,
4
}
,
B
=
{
1
,
2
,
3
,
4
,
5....25
}
and
f
:
A
→
B
is a function such that
f
(
x
)
=
x
2
,
then the number of elements in the range of
f
(
x
)
is
Q.
If
A
=
{
x
:
|
x
|
≤
5
;
x
∈
Z
−
{
0
}
}
,
B
=
{
x
:
x
≤
100
;
x
∈
W
}
and
f
:
A
→
B
is a function defined by
f
(
x
)
=
x
2
+
1
, then the number of elements in the range of
f
that lie in
[
5
,
26
)
is
Q.
If A={1,2,3,4} and
f
:
A
→
R
is a function defined by
f
(
x
)
=
x
2
−
x
+
1
x
+
1
then find the range of 'f'
Q.
If
f
:
A
→
A
, then range of
f
where
A
=
{
1
,
2
,
3
,
4
}
and
f
(
x
)
=
x
2
+
x
+
2
Q.
If f : A → B is an injection, such that range of f = {a}, determine the number of elements in A.
View More
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
Explore more
Range
Standard XII Mathematics
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
AI Tutor
Textbooks
Question Papers
Install app