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Byju's Answer
Standard XII
Mathematics
f(x) Transforms to f(|x|)
Select the co...
Question
Select the correct graph of the function
f
(
x
)
=
tan
∣
∣
∣
x
+
π
3
∣
∣
∣
.
A
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B
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C
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Solution
The correct option is
C
Given:
f
(
x
)
=
tan
∣
∣
∣
x
+
π
3
∣
∣
∣
.
Now, the graph of
tan
x
is given as:
Now, let's draw the graph of
tan
|
x
|
for which we will flip the portion of graph in
x
>
0
along the y - axis as:
Now, shifting this graph to the left by
π
/
3
units, we will get the graph of
f
(
x
)
as:
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0
Similar questions
Q.
Select the correct graph of the function
f
(
x
)
=
tan
∣
∣
∣
x
+
π
3
∣
∣
∣
.
Q.
Select the correct graph of
f
(
x
)
=
∣
∣
∣
cos
∣
∣
∣
x
−
π
4
∣
∣
∣
∣
∣
∣
.
Q.
Given the graph of
y
=
2
tan
(
x
+
π
4
)
∀
y
∈
R
.
Then, select the correct statement(s).
Q.
Given the graph of
y
=
4
cos
(
x
+
π
4
)
∀
x
∈
R
.
Select the correct statements for this function.
Q.
For any angle
x
∈
(
0
,
π
)
∪
(
π
,
2
π
)
,
cosec
x
∈
[
1
,
2
√
3
]
for
x
∈
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f(x) Transforms to f(|x|)
Standard XII Mathematics
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