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Byju's Answer
Standard XII
Mathematics
Range
Mark the inco...
Question
Mark the incorrect statement by the graph of the function
f
(
x
)
=
|
x
|
.
A
f
(
0
)
=
0
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B
f
(
−
4
)
=
4
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C
f
(
4
)
=
−
4
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D
The domain of
f
(
x
)
is all real numbers
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Solution
The correct option is
A
f
(
4
)
=
−
4
Consider the function
f
(
x
)
=
|
x
|
.
The domain for the function is
x
∈
R
and the range is
f
(
x
)
∈
R
+
or
f
(
x
)
∈
[
0
,
∞
)
.
Hence, option C is incorrect.
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0
Similar questions
Q.
f
is a function defined by
f
(
x
)
=
{
2
x
+
4
,
x
≤
2
2
x
−
1
,
x
>
2
Find
f
(
0
)
+
f
(
2
)
+
f
(
4
)
Q.
The function
f
(
x
)
=
0
has eight distinct real solution and
f
also satisfy
f
(
4
+
x
)
=
f
(
4
−
x
)
. The sum of all the eight solution of
f
(
x
)
=
0
is:
Q.
Let
f
be a function satisfying
f
(
0
)
=
2
,
f
′
(
0
)
=
3
and
f
′′
(
x
)
=
f
(
x
)
. Then
Q.
Let
f
(
x
)
be a function such that
f
(
0
)
=
f
′
0
and
f
′′
(
x
)
=
sec
4
x
+
4
then
f
(
x
)
=
Q.
If the function
f
satisfies the relation
f
(
x
+
y
)
+
f
(
x
−
y
)
=
2
f
(
x
)
f
(
y
)
∀
x
,
y
∈
R
and
f
(
0
)
≠
0
, then
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