EduSahara™ Assignment
Name : Real Valued Functions
Chapter : Relations and Mapping
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
If
f
(
x
)
=
(
6
x
+
4
)
, then find
f
(
3
)
(i)
22
(ii)
24
(iii)
23
(iv)
20
(v)
21
Question
2
2.
If
f
(
x
)
=
(
3
x
+
7
)
and
g
(
y
)
=
(
7
y
+
4
)
, then find
f
(
5
)
,
g
(
1
)
(i)
23,12
(ii)
19,8
(iii)
21,10
(iv)
22,11
(v)
24,13
Question
3
3.
If
f
:
A
→
B
is defined by
f
(
x
)
=
(
6
x
+
7
)
and A =
{2,4,1,10}
,
find the range
(i)
{67,19,13,-7,-1,31}
(ii)
{19,67,13}
(iii)
{31,19,67,12}
(iv)
{19,31,13,67}
(v)
{0,25,71,13}
Question
4
4.
If
f
(
t
)
=
(
6
t
2
+
2
t
+
4
)
then find
f
(
8
x
+
2
)
(i)
(
383
x
2
+
208
x
+
32
)
(ii)
(
384
x
2
+
208
x
+
32
)
(iii)
(
387
x
2
+
208
x
+
32
)
(iv)
(
381
x
2
+
208
x
+
32
)
(v)
(
385
x
2
+
208
x
+
32
)
Question
5
5.
If
f
(
x
)
=
(
7
x
−
5
)
and
g
(
x
)
=
(
8
x
2
+
6
x
+
1
)
,
find the value of
f
(
-3
)
+
f
(
-2
)
+
f
(
0
)
g
(
-2
)
+
g
(
0
)
+
g
(
6
)
(i)
(
-52
347
)
(ii)
(
-10
69
)
(iii)
(
-50
349
)
(iv)
(
-50
347
)
(v)
(
-48
347
)
Question
6
6.
Find the range of
f
:
Z
→
Z
where
f
(
x
)
=
(
x
+
4
)
and domain of
f
is
{x : -1 ≤ x ≤ 3}
(i)
{4,5,6,7}
(ii)
{3,4,5,7}
(iii)
{3,4,5,6,7}
(iv)
{3,4,6,7}
(v)
{3,5,6,7}
Question
7
7.
Let
f
:
R
→
R
be a function defined by given conditions
f
(
x
)
=
(
5
x
+
1
)
if
x
<
5
f
(
x
)
=
(
8
x
+
6
)
if
5
≤
x
≤
6
f
(
x
)
=
(
7
x
+
7
)
if
x
>
6
find
f
(
x
)
where x =
2
(i)
11
(ii)
10
(iii)
22
(iv)
21
(v)
12
Question
8
8.
Find the range of
f
:
Z
→
Z
where
f
(
x
)
=
(
x
2
+
4
x
+
1
)
and domain of
f
is
{x : -2 ≤ x ≤ 2}
(i)
{-3,1,6,13,-4}
(ii)
{-3,-2,1,13,7}
(iii)
{-2,1,6,13,-4}
(iv)
{-3,-2,1,6,15}
(v)
{-3,-2,1,6,13}
Assignment Key
1) (i)
2) (iv)
3) (iv)
4) (ii)
5) (iv)
6) (iii)
7) (i)
8) (v)
