EduSahara™ Assignment
Name : Functions
Chapter : Relations and Mapping
Grade : ICSE Grade VII
License : Non Commercial Use
Question
1
1.
Which of the following relations
R
:
A
→
B
represent a function,
given A =
{9,3,6}
and B =
{10,5}
?
(i)
III
(ii)
IV
(iii)
II
(iv)
I
Question
2
2.
Which of the following does not represent a function
f
:
A
→
B
,
where A =
{4,8,5,2}
and B =
{10,7,3,6}
?
(i)
{(2,3),(5,3),(4,3),(8,3)}
(ii)
{(4,10),(5,6),(2,7),(8,10)}
(iii)
{(4,10),(2,6),(5,6),(8,6)}
(iv)
{(5,10),(8,6),(8,3),(5,3)}
(v)
{(4,10),(2,3),(5,3),(8,6)}
Question
3
3.
Which of the following does not represent a function
f
:
A
→
B
,
where A =
{1,9,7,4}
and B =
{10,5,2,6}
?
(i)
{(4,6),(1,2),(9,5),(7,6)}
(ii)
{(7,2),(9,6),(4,2),(1,10)}
(iii)
{(7,6),(9,10),(1,10)}
(iv)
{(7,10),(9,2),(4,6),(1,10)}
(v)
{(7,10),(1,5),(9,10),(4,2)}
Question
4
4.
Which of the following does not represent a function
f
:
A
→
B
,
where A =
{4,10,9,1}
and B =
{8,6,3}
?
(i)
IV
(ii)
I
(iii)
III
(iv)
II
Question
5
5.
Which of the following does not represent a function
f
:
A
→
B
,
where A =
{10,4,9}
and B =
{6,7,1}
?
(i)
II
(ii)
IV
(iii)
I
(iv)
III
Question
6
6.
Which of the following relations is a function
f
:
A
→
B
,
where A =
{d,f,h,o,k}
and B =
{a,h,i,j,n,e}
?
(i)
{(o,j),(f,j),(d,h),(h,i)}
(ii)
{(o,j),(k,n),(d,h),(h,i),(j,f)}
(iii)
{}
(iv)
{(o,j),(f,j),(k,n),(d,h),(h,i)}
(v)
{(o,j),(f,j),(k,n),(d,h),(h,i),(j,f)}
Question
7
7.
Which of the following relations does not represent a function
f
:
A
→
B
,
where A =
{i,n,j,e,f,h}
and B =
{a,d,o,c,g,m}
?
(i)
{(f,o),(j,o),(e,g),(i,o),(h,d),(n,d)}
(ii)
{(n,o),(f,c),(i,g),(h,d),(j,c),(e,m)}
(iii)
{(i,d),(e,g),(f,m),(h,g),(j,g),(n,g)}
(iv)
{(h,g),(j,o),(n,g),(e,c),(i,d),(f,g)}
(v)
{(i,c),(h,a),(f,o),(j,m),(n,c),(h,g)}
Question
8
8.
If
f
(
x
)
=
(
3
x
+
3
)
, then find
f
(
7
)
(i)
26
(ii)
25
(iii)
21
(iv)
24
(v)
23
Question
9
9.
If
f
(
x
)
=
(
8
x
+
7
)
and
g
(
y
)
=
(
6
y
+
6
)
, then find
f
(
5
)
,
g
(
2
)
(i)
44,15
(ii)
46,17
(iii)
47,18
(iv)
48,19
(v)
49,21
Question
10
10.
If
f
:
A
→
B
is defined by
f
(
x
)
=
(
x
+
2
)
and A =
{9,1,8,10}
,
find the range
(i)
{11,3,10,12}
(ii)
{10,17,43,3}
(iii)
{12,3,-18,10,7,11}
(iv)
{10,12,11}
(v)
{11,3,-5,12}
Question
11
11.
Which of the following relations is a function given ,
A =
{9,3,2,4,6,10}
and B =
{2,3,8,4,6}
?
(i)
{(9,3),(3,8),(2,6),(6,6),(10,4)}
(ii)
{(9,3),(3,8),(2,6),(4,2),(6,6),(10,4),(6,2)}
(iii)
{(9,3),(3,8),(2,6),(6,6),(10,4),(3,3)}
(iv)
{(9,3),(3,8),(4,2),(6,6),(10,4),(6,2)}
(v)
{(9,3),(3,8),(2,6),(4,2),(6,6),(10,4)}
Question
12
12.
If
f
(
t
)
=
(
4
t
2
+
7
t
+
6
)
then find
f
(
5
x
−
5
)
(i)
(
100
x
2
−
165
x
+
71
)
(ii)
(
102
x
2
−
165
x
+
71
)
(iii)
(
98
x
2
−
165
x
+
71
)
(iv)
(
99
x
2
−
165
x
+
71
)
(v)
(
101
x
2
−
165
x
+
71
)
Question
13
13.
Find the range of
f
:
Z
→
Z
where
f
(
x
)
=
(
9
x
+
4
)
and domain of
f
is
{x : -2 ≤ x ≤ 2}
(i)
{-14,4,13,22,-4}
(ii)
{-14,-5,4,13,22}
(iii)
{-14,-5,4,13,24}
(iv)
{-5,4,13,22,-16}
(v)
{-14,-5,4,22,12}
Question
14
14.
Let
f
:
R
→
R
be a function defined by given conditions
f
(
x
)
=
(
9
x
+
7
)
if
x
<
1
f
(
x
)
=
(
6
x
+
3
)
if
1
≤
x
≤
7
f
(
x
)
=
(
x
+
1
)
if
x
>
7
find
f
(
x
)
where x =
0
(i)
7
(ii)
3
(iii)
1
(iv)
6
(v)
8
Question
15
15.
Find the range of
f
:
Z
→
Z
where
f
(
x
)
=
(
x
2
+
x
−
2
)
and domain of
f
is
{x : -2 ≤ x ≤ 2}
(i)
{0,4,-4}
(ii)
{-2,4,-1}
(iii)
{0,4,-1}
(iv)
{0,-2,6}
(v)
{0,-2,4}
Assignment Key
1) (i)
2) (iv)
3) (iii)
4) (iii)
5) (ii)
6) (iv)
7) (v)
8) (iv)
9) (iii)
10) (i)
11) (v)
12) (i)
13) (ii)
14) (i)
15) (v)
