EduSahara™ Assignment
Name : Real Valued Functions
Chapter : Relations and Mapping
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
If
f
(
x
)
=
(
6
x
+
4
)
, then find
f
(
6
)
(i)
37
(ii)
39
(iii)
40
(iv)
43
(v)
41
Question
2
2.
If
f
(
x
)
=
(
8
x
+
9
)
and
g
(
y
)
=
(
y
+
8
)
, then find
f
(
9
)
,
g
(
9
)
(i)
82,18
(ii)
80,16
(iii)
84,20
(iv)
79,14
(v)
81,17
Question
3
3.
If
f
:
A
→
B
is defined by
f
(
x
)
=
(
4
x
+
7
)
and A =
{1,8,2,4}
,
find the range
(i)
{16,36,-8,23}
(ii)
{23,11,15}
(iii)
{23,11,7,39}
(iv)
{11,39,15,23}
(v)
{-11,15,39,11,23,12}
Question
4
4.
If
f
(
t
)
=
(
4
t
2
+
6
t
+
8
)
then find
f
(
2
x
−
5
)
(i)
(
17
x
2
−
68
x
+
78
)
(ii)
(
19
x
2
−
68
x
+
78
)
(iii)
(
13
x
2
−
68
x
+
78
)
(iv)
(
16
x
2
−
68
x
+
78
)
(v)
(
15
x
2
−
68
x
+
78
)
Question
5
5.
If
f
(
x
)
=
(
2
x
−
2
)
and
g
(
x
)
=
(
5
x
2
+
5
x
+
4
)
,
find the value of
f
(
-5
)
+
f
(
-1
)
+
f
(
5
)
g
(
-1
)
+
g
(
5
)
+
g
(
-4
)
(i)
(
-2
37
)
(ii)
(
-4
113
)
(iii)
(
-4
109
)
(iv)
(
-4
111
)
(v)
(
-2
111
)
Question
6
6.
Find the range of
f
:
Z
→
Z
where
f
(
x
)
=
(
7
x
−
2
)
and domain of
f
is
{x : 1 ≤ x ≤ 5}
(i)
{5,12,19,33,27}
(ii)
{5,19,26,33,10}
(iii)
{12,19,26,33,4}
(iv)
{5,12,19,26,33}
(v)
{5,12,26,33,21}
Question
7
7.
Let
f
:
R
→
R
be a function defined by given conditions
f
(
x
)
=
(
9
x
+
8
)
if
x
<
1
f
(
x
)
=
(
5
x
+
4
)
if
1
≤
x
≤
2
f
(
x
)
=
(
7
x
+
3
)
if
x
>
2
find
f
(
x
)
where x =
6
(i)
62
(ii)
46
(iii)
44
(iv)
34
(v)
45
Question
8
8.
Find the range of
f
:
Z
→
Z
where
f
(
x
)
=
(
6
x
2
+
5
x
+
4
)
and domain of
f
is
{x : 2 ≤ x ≤ 6}
(i)
{38,73,120,250,180}
(ii)
{38,73,120,179,250}
(iii)
{38,73,120,179,252}
(iv)
{38,73,179,250,119}
(v)
{38,120,179,250,71}
Assignment Key
1) (iii)
2) (v)
3) (iv)
4) (iv)
5) (iv)
6) (iv)
7) (v)
8) (ii)
