EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Relations and Mapping
Grade : ICSE Grade VII
License : Non Commercial Use
Question
1
1.
Which of the following does not represent a function
f
:
A
→
B
,
where A =
{6,5,2,7}
and B =
{1,4,3,8,9}
?
(i)
{(2,4),(7,4),(6,4),(5,4)}
(ii)
{(5,1),(6,4),(7,3),(2,4)}
(iii)
{(5,1),(7,9),(6,3),(2,9)}
(iv)
{(5,3),(6,3),(2,8),(7,3)}
(v)
{(6,1),(2,8),(5,1),(2,4)}
Question
2
2.
If
f
(
x
)
=
(
6
x
+
6
)
and
g
(
y
)
=
(
4
y
+
4
)
, then find
f
(
3
)
,
g
(
5
)
(i)
26,27
(ii)
25,25
(iii)
24,24
(iv)
23,23
(v)
21,21
Question
3
3.
If
f
:
A
→
B
is defined by
f
(
x
)
=
(
9
x
+
9
)
and A =
{5,6,8,4}
,
find the range
(i)
{81,45,63}
(ii)
{57,81,63,52}
(iii)
{54,63,81,45}
(iv)
{45,81,63,9,7,54}
(v)
{54,63,45,92}
Question
4
4.
Find the range of
f
:
Z
→
Z
where
f
(
x
)
=
(
x
2
+
x
−
7
)
and domain of
f
is
{x : -4 ≤ x ≤ 0}
(i)
{5,-1,-7,-3}
(ii)
{5,-5,-7,0}
(iii)
{5,-1,-5,-7}
(iv)
{-1,-5,-7,4}
(v)
{5,-1,-5,-9}
Question
5
5.
If
f
(
t
)
=
(
8
t
2
+
9
t
+
8
)
then find
f
(
8
x
−
3
)
(i)
(
511
x
2
−
312
x
+
53
)
(ii)
(
514
x
2
−
312
x
+
53
)
(iii)
(
513
x
2
−
312
x
+
53
)
(iv)
(
509
x
2
−
312
x
+
53
)
(v)
(
512
x
2
−
312
x
+
53
)
Question
6
6.
If A =
{12,15,30,8,2}
and B =
{5,4,10}
,
then the relation
R
:
A
→
B
such that
a ∈ A
is a multiple of
b ∈ B
is
(i)
{(12,4),(15,5),(30,5),(30,10),(8,4),(5,15)}
(ii)
{(12,4),(30,5),(30,10),(8,4),(5,15)}
(iii)
{(12,4),(15,5),(30,10),(8,4)}
(iv)
{(12,4),(15,5),(30,10),(8,4),(6,29)}
(v)
{(12,4),(15,5),(30,5),(30,10),(8,4)}
Question
7
7.
Which of the following does not represent a function
f
:
A
→
B
,
where A =
{10,4,7}
and B =
{6,2,8}
?
(i)
IV
(ii)
II
(iii)
III
(iv)
I
Question
8
8.
Which of the following does not represent a function
f
:
A
→
B
,
where A =
{6,1,10,7,3,5}
and B =
{9,2,8,4}
?
(i)
{(1,4),(6,8),(10,2),(7,2),(5,4),(3,8)}
(ii)
{(3,8),(7,8),(1,2),(6,9),(5,8),(10,9)}
(iii)
{(10,9),(7,2),(1,8),(5,8),(6,4),(3,2)}
(iv)
{(1,9),(3,8),(5,2),(7,2),(6,4)}
(v)
{(5,2),(3,2),(10,9),(1,4),(7,8),(6,8)}
Question
9
9.
Find the co-domain of given relation diagram.
(i)
{8,6,7,9}
(ii)
{5,4,1}
(iii)
{8,9,6,7}
(iv)
{5,4,1,6}
(v)
{8,6,7,9,1}
Question
10
10.
Which of the following does not represent a function
f
:
A
→
B
,
where A =
{2,8,4}
and B =
{3,5,6,7}
?
(i)
IV
(ii)
III
(iii)
II
(iv)
I
Question
11
11.
If A =
{8,7,2}
and B =
{6,3,9}
, then
A ✕ B
is
(i)
II
(ii)
I
(iii)
III
(iv)
IV
Question
12
12.
Find the range of given relation diagram.
(i)
{2,10,7,4}
(ii)
{1,4}
(iii)
{1,4,6,7}
(iv)
{6,1,4}
(v)
{2,7,10}
Question
13
13.
If A =
{9,10,6,4,5,8}
and B =
{1,4,8,6,5}
,
then the relation
R
:
A
→
B
such that
a ∈ A
is equal of
b ∈ B
is
(i)
{(6,6),(4,4),(8,8),(6,4)}
(ii)
{(6,6),(4,4),(8,8)}
(iii)
{(6,6),(4,4),(5,5),(8,8),(1,1)}
(iv)
{(6,6),(4,4),(5,5),(8,8)}
(v)
{(6,6),(4,4),(5,5),(8,8),(10,10)}
Question
14
14.
Which of the following relations does not represent a function
f
:
A
→
B
,
where A =
{c,d,n,h,o}
and B =
{b,i,j,k,a,e}
?
(i)
{(d,b),(o,j),(c,e),(h,i),(c,j)}
(ii)
{(o,e),(n,i),(c,a),(h,i),(d,a)}
(iii)
{(o,a),(d,j),(n,j),(c,b),(h,j)}
(iv)
{(o,b),(n,a),(h,k),(c,i),(d,i)}
(v)
{(n,k),(c,i),(h,e),(o,k),(d,k)}
Question
15
15.
Write the relation
R
:
A
→
B
in the given diagram,
where A =
{6,7,8,10}
and B =
{2,9,5,4}
(i)
{(8,4),(6,5),(10,5),(6,4),(7,2),(7,5),(7,9),(8,5),(5,10)}
(ii)
{(8,4),(6,5),(10,5),(7,2),(7,5),(7,9),(8,5),(5,5)}
(iii)
{(8,4),(6,5),(10,5),(6,4),(7,5),(7,9),(8,5)}
(iv)
{(8,4),(6,5),(10,5),(6,4),(7,2),(7,5),(7,9),(8,5)}
(v)
{(8,4),(6,5),(6,4),(7,2),(7,5),(7,9),(8,5),(5,10)}
Question
16
16.
Find the range of
f
:
Z
→
Z
where
f
(
x
)
=
(
2
x
−
4
)
and domain of
f
is
{x : -1 ≤ x ≤ 3}
(i)
{-4,-2,0,2}
(ii)
{-6,-4,0,2,-3}
(iii)
{-6,-4,-2,0,2}
(iv)
{-6,-4,-2,2,1}
(v)
{-6,-4,-2,0}
Question
17
17.
Find the range in given roster form,
where R =
{(7,1),(3,4),(10,4),(3,1),(7,6)}
(i)
{6,1,4,10}
(ii)
{1,4}
(iii)
{1,4,6}
(iv)
{7,3,10,1}
(v)
{7,3,10}
Question
18
18.
Which of the following relations
R
:
A
→
B
represent a function,
given A =
{10,7,4,2}
and B =
{9,8}
?
(i)
I
(ii)
III
(iii)
II
(iv)
IV
Question
19
19.
Let
f
:
R
→
R
be a function defined by given conditions
f
(
x
)
=
(
9
x
+
5
)
if
x
<
-3
f
(
x
)
=
(
6
x
+
1
)
if
-3
≤
x
≤
1
f
(
x
)
=
(
3
x
+
5
)
if
x
>
1
find
f
(
x
)
where x =
-7
(i)
-16
(ii)
-57
(iii)
-58
(iv)
-41
(v)
-59
Question
20
20.
Which of the following relations is a function given ,
A =
{2,3,10,4,8}
and B =
{1,3,6,4,7}
?
(i)
{(2,4),(10,7),(4,1),(8,4),(1,3)}
(ii)
{(2,4),(3,1),(4,1),(8,4)}
(iii)
{(2,4),(3,1),(4,1),(8,4),(8,9)}
(iv)
{(2,4),(3,1),(10,7),(4,1),(8,4),(1,3)}
(v)
{(2,4),(3,1),(10,7),(4,1),(8,4)}
Question
21
21.
Find the domain and range of the given relation
R
:
A
→
B
=
{(10,3),(10,8),(8,3),(8,8),(5,3),(5,8)}
(i)
A = {10,8,5} , B = {3,8}
(ii)
A = {5,8,17} , B ={8,4}
(iii)
A = {10,5,3} , B ={3,8}
(iv)
A = {9,8,10,4} , B ={2,8,4}
(v)
A = {-3,4,10} , B ={6,13}
Question
22
22.
If A =
{4,7,6,9}
and B =
{8,5,36,28,2,12,3}
,
then the relation
R
:
A
→
B
such that
a ∈ A
is a factor of
b ∈ B
is
(i)
{(4,8),(4,36),(4,28),(4,12),(7,28),(6,36),(6,12),(9,36)}
(ii)
{(4,8),(4,36),(4,12),(7,28),(6,36),(6,12),(9,36),(28,4)}
(iii)
{(4,8),(4,36),(4,28),(4,12),(7,28),(6,36),(6,12),(9,36),(28,4)}
(iv)
{(4,8),(4,36),(4,28),(4,12),(6,36),(6,12),(9,36)}
(v)
{(4,8),(4,36),(4,28),(7,28),(6,36),(6,12),(9,36),(13,3)}
Question
23
23.
Find the domain of the given relation.
(i)
{5,6,9,2}
(ii)
{7,10,8}
(iii)
{8,7}
(iv)
{7,10,8,5}
(v)
{8,7,10,6}
Question
24
24.
If A =
{4,8,3,10}
and B =
{5,7,9}
,
then the relation
R
:
A
→
B
such that
a ∈ A
is less than
b ∈ B
is
(i)
{(4,5),(4,7),(8,9),(3,5),(3,7),(3,9),(9,4)}
(ii)
{(4,5),(4,7),(4,9),(8,9),(3,5),(3,7),(3,9),(9,4)}
(iii)
{(4,5),(4,7),(4,9),(3,5),(3,7),(3,9),(10,7)}
(iv)
{(4,5),(4,7),(4,9),(8,9),(3,5),(3,7),(3,9)}
(v)
{(4,5),(4,7),(4,9),(3,5),(3,7),(3,9)}
Question
25
25.
If
f
(
x
)
=
(
8
x
+
3
)
, then find
f
(
9
)
(i)
75
(ii)
73
(iii)
76
(iv)
78
(v)
74
Assignment Key
1) (v)
2) (iii)
3) (iii)
4) (iii)
5) (v)
6) (v)
7) (ii)
8) (iv)
9) (ii)
10) (iii)
11) (iv)
12) (iv)
13) (iv)
14) (i)
15) (iv)
16) (iii)
17) (iii)
18) (i)
19) (iii)
20) (v)
21) (i)
22) (i)
23) (ii)
24) (iv)
25) (i)
