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Byju's Answer
Standard XII
Mathematics
Expressing x in Terms of y, to Find the Range of a Function
The range of ...
Question
The range of the function
f
(
x
)
=
x
+
2
|
x
+
2
|
is
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Solution
Given function is
f
(
x
)
=
x
+
2
|
x
+
2
|
When
x
>
−
2
,
then
f
(
x
)
=
x
+
2
x
+
2
=
1
When
x
<
−
2
,
then
f
(
x
)
=
x
+
2
−
(
x
+
2
)
=
−
1
Hence, the range of the function is
{
−
1
,
1
}
.
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Expressing x in Terms of y, to Find the Range of a Function
Standard XII Mathematics
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