Properties of Defined Function (Jee Mains) | ExamDuo
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Continuity and Differentiability
Medium
Properties of Defined Function
Let
f
:
[
0
,
∞
)
→
[
0
,
3
]
be a function defined by
f
(
x
)
=
{
max
{
sin
t
:
0
≤
t
≤
x
}
,
0
≤
x
≤
π
2
+
cos
x
,
x
>
π
Then which of the following is true?
Ask about this question
SELECT ONE OPTION
A
f
is continuous everywhere but not differentiable exactly at one point in
(
0
,
∞
)
B
f
is differentiable everywhere in
(
0
,
∞
)
C
f
is not continuous exactly at two points in
(
0
,
∞
)
D
f
is continuous everywhere but not differentiableexactly at two points in
(
0
,
∞
)
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