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Byju's Answer
Standard XII
Mathematics
Local Maxima
The local min...
Question
The local minimum value of the function f' given by
f
(
x
)
=
3
+
|
x
|
,
x
ϵ
R
is.
A
3
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B
0
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C
-1
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D
1
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Solution
The correct option is
A
3
Fact: Absolute value of any number will always non-negative
⇒
|
x
|
≥
0
∀
x
∈
R
Therefore
f
(
x
)
=
3
+
|
x
|
≥
3
+
0
=
3
Hence minimum value of the given function is
3
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0
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