EduSahara™ Assignment
Name : Real Valued Functions
Chapter : Relations and Mapping
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
If
f
(
x
)
=
(
7
x
+
2
)
, then find
f
(
3
)
(i)
20
(ii)
24
(iii)
22
(iv)
25
(v)
23
Question
2
2.
If
f
(
x
)
=
(
4
x
+
3
)
and
g
(
y
)
=
(
y
+
8
)
, then find
f
(
7
)
,
g
(
1
)
(i)
29,6
(ii)
34,12
(iii)
30,8
(iv)
31,9
(v)
32,10
Question
3
3.
If
f
:
A
→
B
is defined by
f
(
x
)
=
(
9
x
+
3
)
and A =
{2,4,10,5}
,
find the range
(i)
{21,39,93,48}
(ii)
{35,89,21,39}
(iii)
{21,48,-3,6,39,93}
(iv)
{39,21,48}
(v)
{21,39,93,31}
Question
4
4.
If
f
(
t
)
=
(
7
t
2
+
t
+
8
)
then find
f
(
5
x
−
1
)
(i)
(
173
x
2
−
65
x
+
14
)
(ii)
(
174
x
2
−
65
x
+
14
)
(iii)
(
175
x
2
−
65
x
+
14
)
(iv)
(
176
x
2
−
65
x
+
14
)
(v)
(
178
x
2
−
65
x
+
14
)
Question
5
5.
If
f
(
x
)
=
(
3
x
+
1
)
and
g
(
x
)
=
(
5
x
2
+
7
x
−
4
)
,
find the value of
f
(
-6
)
+
f
(
-5
)
+
f
(
-3
)
g
(
-5
)
+
g
(
-3
)
+
g
(
-1
)
(i)
(
-39
98
)
(ii)
(
-41
100
)
(iii)
(
-39
100
)
(iv)
(
-13
34
)
(v)
(
-37
100
)
Question
6
6.
Find the range of
f
:
Z
→
Z
where
f
(
x
)
=
(
7
x
−
4
)
and domain of
f
is
{x : -4 ≤ x ≤ 0}
(i)
{-25,-18,-11,-4,-30}
(ii)
{-32,-25,-11,-4,-20}
(iii)
{-32,-25,-18,-11,-4}
(iv)
{-32,-25,-18,-11,-3}
(v)
{-32,-25,-18,-4,-12}
Question
7
7.
Let
f
:
R
→
R
be a function defined by given conditions
f
(
x
)
=
(
9
x
+
3
)
if
x
<
-2
f
(
x
)
=
(
3
x
+
3
)
if
-2
≤
x
≤
3
f
(
x
)
=
(
3
x
+
8
)
if
x
>
3
find
f
(
x
)
where x =
-7
(i)
-18
(ii)
-61
(iii)
-59
(iv)
-60
(v)
-13
Question
8
8.
Find the range of
f
:
Z
→
Z
where
f
(
x
)
=
(
4
x
2
+
4
x
+
9
)
and domain of
f
is
{x : 2 ≤ x ≤ 6}
(i)
{57,89,129,177,34}
(ii)
{33,57,129,177,88}
(iii)
{33,57,89,129,177}
(iv)
{33,57,89,129,179}
(v)
{33,89,129,177,55}
Assignment Key
1) (v)
2) (iv)
3) (i)
4) (iii)
5) (iii)
6) (iii)
7) (iv)
8) (iii)
