EduSahara™ Assignment
Name : Real Valued Functions
Chapter : Relations and Mapping
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
If
f
(
x
)
=
(
4
x
+
4
)
, then find
f
(
1
)
(i)
7
(ii)
9
(iii)
11
(iv)
6
(v)
8
Question
2
2.
If
f
(
x
)
=
(
2
x
+
1
)
and
g
(
y
)
=
(
8
y
+
5
)
, then find
f
(
3
)
,
g
(
8
)
(i)
6,68
(ii)
7,69
(iii)
4,66
(iv)
9,72
(v)
8,70
Question
3
3.
If
f
:
A
→
B
is defined by
f
(
x
)
=
(
6
x
+
1
)
and A =
{2,5,3,1}
,
find the range
(i)
{19,13,7,31,-10,10}
(ii)
{13,31,19,7}
(iii)
{13,-6,43,6}
(iv)
{19,7,34,13}
(v)
{7,31,13}
Question
4
4.
If
f
(
t
)
=
(
4
t
2
+
4
t
+
5
)
then find
f
(
3
x
−
3
)
(i)
(
35
x
2
−
60
x
+
29
)
(ii)
(
39
x
2
−
60
x
+
29
)
(iii)
(
37
x
2
−
60
x
+
29
)
(iv)
(
34
x
2
−
60
x
+
29
)
(v)
(
36
x
2
−
60
x
+
29
)
Question
5
5.
If
f
(
x
)
=
(
9
x
+
2
)
and
g
(
x
)
=
(
7
x
2
+
9
x
)
,
find the value of
f
(
2
)
+
f
(
-3
)
+
f
(
-6
)
g
(
-3
)
+
g
(
-6
)
+
g
(
0
)
(i)
(
-19
78
)
(ii)
(
-1
4
)
(iii)
(
-7
26
)
(iv)
(
-19
80
)
(v)
(
-17
78
)
Question
6
6.
Find the range of
f
:
Z
→
Z
where
f
(
x
)
=
(
8
x
+
4
)
and domain of
f
is
{x : 4 ≤ x ≤ 8}
(i)
{36,44,60,68,51}
(ii)
{36,44,52,60,68}
(iii)
{36,44,52,60,70}
(iv)
{36,52,60,68,42}
(v)
{36,44,52,68,61}
Question
7
7.
Let
f
:
R
→
R
be a function defined by given conditions
f
(
x
)
=
(
4
x
+
8
)
if
x
<
3
f
(
x
)
=
(
x
+
2
)
if
3
≤
x
≤
4
f
(
x
)
=
(
2
x
+
4
)
if
x
>
4
find
f
(
x
)
where x =
3
(i)
20
(ii)
6
(iii)
5
(iv)
10
(v)
4
Question
8
8.
Find the range of
f
:
Z
→
Z
where
f
(
x
)
=
(
x
2
+
2
x
+
3
)
and domain of
f
is
{x : -4 ≤ x ≤ 0}
(i)
{11,6,3,2}
(ii)
{11,3,2,5}
(iii)
{11,6,2,5}
(iv)
{6,3,2,12}
(v)
{11,6,3,0}
Assignment Key
1) (v)
2) (ii)
3) (ii)
4) (v)
5) (i)
6) (ii)
7) (iii)
8) (i)
