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Standard XII
Maths
Question
Which of the following functions are even and which are odd?
1)
f
(
x
)
=
x
2
+
7
2)
f
(
x
)
=
x
+
2
3)
f
(
x
)
=
x
7
+
2
x
5
4)
f
(
x
)
=
|
x
|
+
4
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Solution
Verified by Toppr
When
f
(
x
)
=
f
(
−
x
)
, function is even
f
(
x
)
=
−
f
(
−
x
)
, function is odd
(A)
f
(
x
)
=
x
2
+
7
f
(
−
x
)
=
x
2
+
7
- Even
(B)
f
(
x
)
=
x
+
2
f
(
−
x
)
=
−
x
+
2
- Neither even nor odd
(C)
f
(
−
x
)
=
x
7
−
2
x
5
f
(
x
)
=
−
x
7
−
2
x
5
- odd
(D)
f
(
x
)
=
|
x
|
+
4
f
(
−
x
)
=
|
x
|
+
4
- Even
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Similar Questions
Q1
Which of the following functions are even and which are odd?
1)
f
(
x
)
=
x
2
+
7
2)
f
(
x
)
=
x
+
2
3)
f
(
x
)
=
x
7
+
2
x
5
4)
f
(
x
)
=
|
x
|
+
4
View Solution
Q2
Which of the following functions even and which are odd?
(i)
f
(
x
)
=
x
2
+
7
(ii)
f
(
x
)
=
x
+
2
(ii)
f
(
x
)
=
x
7
+
2
x
5
(iv)
f
(
x
)
=
|
x
|
+
4
View Solution
Q3
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
)
View Solution
Q4
Which of the following functions
f
has/ have a removable discontinuity at the indicated point?
View Solution
Q5
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
View Solution