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Byju's Answer
Standard XII
Mathematics
Definition of Functions
If f:[-4,4]...
Question
If
f
:
[
−
4
,
4
]
→
R
is defined by
f
(
x
)
=
x
2
then the range of
f
=
A
[
−
4
,
4
]
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B
[
0
,
4
]
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C
[
0
,
16
]
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D
(
−
∞
,
∞
)
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Solution
The correct option is
C
[
0
,
16
]
f
(
x
)
=
x
2
is an even function so it is symmetric about y-axis.
f
(
0
)
=
0
f
(
4
)
=
f
(
−
4
)
=
16
So range of
f
(
x
)
is
[
0
,
16
]
Suggest Corrections
0
Similar questions
Q.
Let
f
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(
1
,
3
)
→
R
be a function defined by
f
(
x
)
=
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2
+
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, where
[
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Q.
Let
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A
→
R
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)
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If
f
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