EduSahara™ Assignment
Name : Real Valued Functions
Chapter : Relations and Mapping
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
If
f
(
x
)
=
(
5
x
+
9
)
, then find
f
(
4
)
(i)
30
(ii)
29
(iii)
28
(iv)
27
(v)
31
Question
2
2.
If
f
(
x
)
=
(
3
x
+
1
)
and
g
(
y
)
=
(
3
y
+
2
)
, then find
f
(
3
)
,
g
(
5
)
(i)
9,16
(ii)
10,17
(iii)
12,19
(iv)
7,15
(v)
11,18
Question
3
3.
If
f
:
A
→
B
is defined by
f
(
x
)
=
(
8
x
+
2
)
and A =
{10,9,7,2}
,
find the range
(i)
{18,82,41,74}
(ii)
{82,58,74}
(iii)
{74,18,88,58}
(iv)
{82,74,58,18}
(v)
{58,18,74,-18,82,19}
Question
4
4.
If
f
(
t
)
=
(
8
t
2
+
2
t
+
8
)
then find
f
(
4
x
−
5
)
(i)
(
128
x
2
−
312
x
+
198
)
(ii)
(
127
x
2
−
312
x
+
198
)
(iii)
(
129
x
2
−
312
x
+
198
)
(iv)
(
125
x
2
−
312
x
+
198
)
(v)
(
130
x
2
−
312
x
+
198
)
Question
5
5.
If
f
(
x
)
=
(
2
x
+
2
)
and
g
(
x
)
=
(
x
2
+
x
+
4
)
,
find the value of
f
(
-1
)
+
f
(
-2
)
+
f
(
2
)
g
(
-2
)
+
g
(
2
)
+
g
(
-4
)
(i)
1
8
(ii)
1
6
(iii)
(
-1
8
)
(iv)
1
10
(v)
3
8
Question
6
6.
Find the range of
f
:
Z
→
Z
where
f
(
x
)
=
(
9
x
−
2
)
and domain of
f
is
{x : 0 ≤ x ≤ 4}
(i)
{-2,16,25,34,6}
(ii)
{7,16,25,34,0}
(iii)
{-2,7,25,34,14}
(iv)
{-2,7,16,25,34}
(v)
{-2,7,16,25,35}
Question
7
7.
Let
f
:
R
→
R
be a function defined by given conditions
f
(
x
)
=
(
5
x
+
8
)
if
x
<
-8
f
(
x
)
=
(
8
x
+
9
)
if
-8
≤
x
≤
6
f
(
x
)
=
(
8
x
+
6
)
if
x
>
6
find
f
(
x
)
where x =
-12
(i)
-52
(ii)
-90
(iii)
-53
(iv)
-51
(v)
-87
Question
8
8.
Find the range of
f
:
Z
→
Z
where
f
(
x
)
=
(
2
x
2
+
x
)
and domain of
f
is
{x : 5 ≤ x ≤ 9}
(i)
{55,78,105,136,171}
(ii)
{55,78,136,171,107}
(iii)
{55,78,105,136,169}
(iv)
{78,105,136,171,54}
(v)
{55,78,105,171,137}
Assignment Key
1) (ii)
2) (ii)
3) (iv)
4) (i)
5) (i)
6) (iv)
7) (i)
8) (i)
