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Byju's Answer
Standard XII
Mathematics
Bijective Function
Which of the ...
Question
Which of the following functions from
Z
to itself are NOT bijections ?
A
f
(
x
)
=
x
3
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B
f
(
x
)
=
x
+
2
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C
f
(
x
)
=
2
x
+
1
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D
f
(
x
)
=
x
2
+
x
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Solution
The correct options are
A
f
(
x
)
=
x
3
B
f
(
x
)
=
2
x
+
1
D
f
(
x
)
=
x
2
+
x
Suggest Corrections
0
Similar questions
Q.
Which of the following functions form Z to itself are bijections?
(a)
f
x
=
x
3
(b)
f
x
=
x
+
2
(c)
f
x
=
2
x
+
1
(d)
f
x
=
x
2
+
x
Q.
Which of the following functions from Z to Z are bijections?
(a) f(x) = x
3
(b) f(x) = x + 2
(c) f(x) = 2x + 1
(d) f(x) = x
2
+ 1
Q.
Check which function is bijective from
Z
→
Z
:
(A)
f
(
x
)
=
x
3
(B)
f
(
x
)
=
2
x
+
1
Q.
Which of the following functions are not identical?
1.
f
(
x
)
=
x
/
x
,
g
(
x
)
=
1
2.
f
(
x
)
=
1
,
g
(
x
)
=
sin
2
x
+
cos
2
x
3.
f
(
x
)
=
x
,
g
(
x
)
=
(
√
x
)
2
4.
f
(
x
)
=
log
(
x
−
2
)
+
log
(
x
−
3
)
,
g
(
x
)
=
log
(
x
−
2
)
(
x
−
3
)
Q.
Which of the following functions from
A
=
x
∈
R
:
-
1
≤
x
≤
1
to itself are bijections?
(a)
f
x
=
|
x
|
(b)
f
x
=
sin
π
x
2
(c)
f
x
=
sin
π
x
4
(d) None of these
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