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Byju's Answer
Standard X
Mathematics
Class Interval
Let A = 5, 6,...
Question
Let
A
=
{
5
,
6
,
7
,
8
}
,
B
=
{
−
11
,
4
,
7
,
−
10
,
−
7
,
−
9
,
−
13
}
, and
f
=
{
(
x
,
y
)
:
y
=
3
−
2
x
,
x
∈
A
,
y
∈
B
}
. What is the range of
f
?
A
{
−
7
,
−
7
,
−
10
,
−
13
}
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B
{
−
7
,
−
9
,
−
10
,
−
11
}
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C
{
7
,
−
9
,
−
11
,
−
13
}
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D
{
−
7
,
−
9
,
−
11
,
−
13
}
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Solution
The correct option is
D
{
−
7
,
−
9
,
−
11
,
−
13
}
Given:
y
=
3
–
2
x
When
x
=
5
,
y
=
3
–
2
(
5
)
=
3
–
10
=
−
7
When
x
=
6
,
y
=
3
–
2
(
6
)
=
3
–
12
=
−
9
When
x
=
7
,
y
=
3
–
2
(
7
)
=
3
–
14
=
−
11
When
x
=
8
,
y
=
3
–
2
(
8
)
=
3
–
16
=
−
13
Range of
f
=
{
−
7
,
−
9
,
−
11
,
−
13
}
Suggest Corrections
2
Similar questions
Q.
Let
A
=
{
5
,
6
,
7
,
8
}
;
B
=
{
−
11
,
4
,
7
,
−
10
,
−
7
,
−
9
,
−
13
}
and f = {(x, y); y = 3 - 2x, x
ε
A, y
ε
B}
(i) Write down the elements of
f
.
(ii) What is the range?
Q.
Let A= { 5, 6, 7, 8 }; B = { -11, 4, 7, -10, -7, -9, -13 } and
f
=
{
(
x
,
y
)
:
y
=
3
−
2
x
,
x
ϵ
A
,
y
ϵ
B
}
(i) Write down the elements of
f
. (ii) What is the co-domain?
(iii) What is the range ? (iv) Identify the type of function.
Q.
If
(
x
+
i
y
)
(
2
−
3
i
)
=
4
+
i
, then values of
x
and
y
are
Q.
If
f
(
2
x
+
3
y
,
2
x
−
7
y
)
=
20
x
, then
f
(
x
,
y
)
equals