EduSahara™ Assignment
Name : Real Valued Functions
Chapter : Relations and Mapping
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
If
f
(
x
)
=
(
8
x
+
6
)
, then find
f
(
2
)
(i)
22
(ii)
25
(iii)
23
(iv)
20
(v)
21
Question
2
2.
If
f
(
x
)
=
(
9
x
+
5
)
and
g
(
y
)
=
(
y
+
5
)
, then find
f
(
9
)
,
g
(
8
)
(i)
88,16
(ii)
87,14
(iii)
86,13
(iv)
85,12
(v)
83,11
Question
3
3.
If
f
:
A
→
B
is defined by
f
(
x
)
=
(
x
+
4
)
and A =
{3,6,7,9}
,
find the range
(i)
{4,13,10,11}
(ii)
{-8,11,10,13,1,7}
(iii)
{7,11,13}
(iv)
{13,10,11,7}
(v)
{7,10,11,13}
Question
4
4.
If
f
(
t
)
=
(
2
t
2
+
5
t
+
7
)
then find
f
(
8
x
+
1
)
(i)
(
128
x
2
+
72
x
+
14
)
(ii)
(
127
x
2
+
72
x
+
14
)
(iii)
(
129
x
2
+
72
x
+
14
)
(iv)
(
130
x
2
+
72
x
+
14
)
(v)
(
126
x
2
+
72
x
+
14
)
Question
5
5.
If
f
(
x
)
=
3
x
and
g
(
x
)
=
(
8
x
2
+
7
x
+
2
)
,
find the value of
f
(
0
)
+
f
(
-6
)
+
f
(
5
)
g
(
-6
)
+
g
(
5
)
+
g
(
-1
)
(i)
(
-1
488
)
(ii)
(
-3
490
)
(iii)
(
-3
488
)
(iv)
(
-1
162
)
(v)
(
-5
488
)
Question
6
6.
Find the range of
f
:
Z
→
Z
where
f
(
x
)
=
(
8
x
−
1
)
and domain of
f
is
{x : -5 ≤ x ≤ -1}
(i)
{-41,-25,-17,-9,-32}
(ii)
{-41,-33,-25,-17,-9}
(iii)
{-41,-33,-17,-9,-23}
(iv)
{-41,-33,-25,-9,-18}
(v)
{-41,-33,-25,-17,-11}
Question
7
7.
Let
f
:
R
→
R
be a function defined by given conditions
f
(
x
)
=
(
6
x
+
4
)
if
x
<
-5
f
(
x
)
=
(
x
+
7
)
if
-5
≤
x
≤
1
f
(
x
)
=
(
4
x
+
3
)
if
x
>
1
find
f
(
x
)
where x =
-9
(i)
-49
(ii)
-33
(iii)
-50
(iv)
-2
(v)
-51
Question
8
8.
Find the range of
f
:
Z
→
Z
where
f
(
x
)
=
(
4
x
2
+
6
x
−
6
)
and domain of
f
is
{x : -4 ≤ x ≤ 0}
(i)
{34,12,-2,-8,-6}
(ii)
{34,12,-8,-6,-4}
(iii)
{34,12,-2,-8,-5}
(iv)
{34,-2,-8,-6,14}
(v)
{12,-2,-8,-6,33}
Assignment Key
1) (i)
2) (iii)
3) (v)
4) (i)
5) (iii)
6) (ii)
7) (iii)
8) (i)
