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Question 3 - Week 7 Practice | Prasnya
Q3
00:00
3 Aug 2025
Q3.
Consider the functions
f
(
x
)
=
{
x
−
6
,
x
<
6
x
−
7
,
x
≥
6
f(x)=\begin{cases}x-6,&x<6\\x-7,&x\ge 6\end{cases}
f
(
x
)
=
{
x
−
6
,
x
−
7
,
x
<
6
x
≥
6
and
g
(
x
)
=
{
(
x
−
6
)
2
,
x
<
6.5
(
x
−
7
)
2
,
x
≥
6.5
g(x)=\begin{cases}(x-6)^2,&x<6.5\\(x-7)^2,&x\ge 6.5\end{cases}
g
(
x
)
=
{
(
x
−
6
)
2
,
(
x
−
7
)
2
,
x
<
6.5
x
≥
6.5
. Which of the following statements is/are correct?
A
f
f
f
is not continuous.
B
f
f
f
is continuous.
C
g
g
g
is not continuous.
D
g
g
g
is continuous.
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Check
Details
Q3
00:00
3 Aug 2025
Q3.
Consider the functions
f
(
x
)
=
{
x
−
6
,
x
<
6
x
−
7
,
x
≥
6
f(x)=\begin{cases}x-6,&x<6\\x-7,&x\ge 6\end{cases}
f
(
x
)
=
{
x
−
6
,
x
−
7
,
x
<
6
x
≥
6
and
g
(
x
)
=
{
(
x
−
6
)
2
,
x
<
6.5
(
x
−
7
)
2
,
x
≥
6.5
g(x)=\begin{cases}(x-6)^2,&x<6.5\\(x-7)^2,&x\ge 6.5\end{cases}
g
(
x
)
=
{
(
x
−
6
)
2
,
(
x
−
7
)
2
,
x
<
6.5
x
≥
6.5
. Which of the following statements is/are correct?
A
f
f
f
is not continuous.
B
f
f
f
is continuous.
C
g
g
g
is not continuous.
D
g
g
g
is continuous.
Save
Check
Details
