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Byju's Answer
Standard XI
Mathematics
Theorems for Continuity
The function ...
Question
The function
f
:
R
→
R
defined by
f
(
x
)
=
|
(
x
−
1
)
(
x
−
2
)
|
is
A
One-one function
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B
Many-one function
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C
Constant function
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D
None of these
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Solution
The correct option is
B
Many-one function
We can clearly see that
f
(
x
)
=
0
for
x
=
1
and
x
=
2
∴
f
(
x
)
is many-one function.
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3
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The function f : R
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Q.
The domain of the function f defined by
f
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(a) R
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(c) R
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The function
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35
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Q.
Let the function
f
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−
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x
−
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sin
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g
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be an arbitrary function. Let
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R
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be the product function defined by
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Q.
Discuss the continuity of the function
f
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)
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i
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1
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Standard XI Mathematics
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