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Byju's Answer
Standard XII
Mathematics
Range
f:[-4,3→ A, l...
Question
f
:
[
−
4
,
3
)
→
A
,
let
f
(
x
)
=
x
2
+
2
is a function. Then which of the following represents set
A
A
[
2
,
18
]
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B
[
2
,
11
)
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C
[
2
,
18
)
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D
[
2
,
11
]
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Solution
The correct option is
A
[
2
,
18
]
f
(
x
)
=
x
2
+
2
in
x
∈
[
−
4
,
3
)
∵
x
2
+
2
≥
2
Now,
x
2
+
2
=
2
at
x
=
0
∈
[
−
4
,
3
)
Also,
f
(
−
4
)
=
18
,
f
(
3
)
=
11
⇒
f
(
x
)
∈
[
2
,
18
]
,
∀
x
∈
[
−
4
,
3
)
Suggest Corrections
0
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