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
+
7
)
, then find
f
(
9
)
(i)
41
(ii)
43
(iii)
45
(iv)
42
(v)
44
Question
2
2.
If
f
(
x
)
=
(
8
x
+
6
)
and
g
(
y
)
=
(
4
y
+
3
)
, then find
f
(
1
)
,
g
(
4
)
(i)
11,16
(ii)
15,20
(iii)
13,18
(iv)
14,19
(v)
17,21
Question
3
3.
If
f
:
A
→
B
is defined by
f
(
x
)
=
(
4
x
+
6
)
and A =
{10,7,6,5}
,
find the range
(i)
{34,26,-10,46,30,-9}
(ii)
{47,46,30,26}
(iii)
{47,44,46,19}
(iv)
{46,34,30,26}
(v)
{34,26,30}
Question
4
4.
If
f
(
t
)
=
(
8
t
2
+
7
t
+
6
)
then find
f
(
5
x
−
3
)
(i)
(
199
x
2
−
205
x
+
57
)
(ii)
(
201
x
2
−
205
x
+
57
)
(iii)
(
198
x
2
−
205
x
+
57
)
(iv)
(
200
x
2
−
205
x
+
57
)
(v)
(
203
x
2
−
205
x
+
57
)
Question
5
5.
If
f
(
x
)
=
(
3
x
−
3
)
and
g
(
x
)
=
(
9
x
2
+
x
+
3
)
,
find the value of
f
(
-6
)
+
f
(
-4
)
+
f
(
3
)
g
(
-4
)
+
g
(
3
)
+
g
(
-5
)
(i)
(
-10
153
)
(ii)
(
-10
149
)
(iii)
(
-12
151
)
(iv)
(
-10
151
)
(v)
(
-8
151
)
Question
6
6.
Find the range of
f
:
Z
→
Z
where
f
(
x
)
=
(
3
x
+
5
)
and domain of
f
is
{x : 3 ≤ x ≤ 7}
(i)
{14,20,23,26,16}
(ii)
{14,17,20,23,24}
(iii)
{14,17,20,26,25}
(iv)
{14,17,20,23,26}
(v)
{14,17,23,26,21}
Question
7
7.
Let
f
:
R
→
R
be a function defined by given conditions
f
(
x
)
=
(
3
x
+
2
)
if
x
<
-7
f
(
x
)
=
(
x
+
2
)
if
-7
≤
x
≤
5
f
(
x
)
=
(
5
x
+
8
)
if
x
>
5
find
f
(
x
)
where x =
2
(i)
3
(ii)
8
(iii)
18
(iv)
5
(v)
4
Question
8
8.
Find the range of
f
:
Z
→
Z
where
f
(
x
)
=
(
6
x
2
+
3
x
−
4
)
and domain of
f
is
{x : 3 ≤ x ≤ 7}
(i)
{59,104,161,311,231}
(ii)
{59,104,161,230,311}
(iii)
{59,161,230,311,103}
(iv)
{59,104,230,311,159}
(v)
{104,161,230,311,61}
Assignment Key
1) (ii)
2) (iv)
3) (iv)
4) (iv)
5) (iv)
6) (iv)
7) (v)
8) (ii)
