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Question 28 - Week 4 Practice | Prasnya
Q28
00:00
5 Jun 2022
Q28.
Consider a polynomial function
p
(
x
)
=
−
0.01
(
x
−
1
)
(
x
−
2
)
2
(
x
−
3
)
2
(
x
−
4
)
x
(
x
+
1
)
(
x
+
2
)
2
p(x)=-0.01(x-1)(x-2)^2(x-3)^2(x-4)x(x+1)(x+2)^2
p
(
x
)
=
−
0.01
(
x
−
1
)
(
x
−
2
)
2
(
x
−
3
)
2
(
x
−
4
)
x
(
x
+
1
)
(
x
+
2
)
2
. Choose the correct options from the following.
A
p
(
x
)
p(x)
p
(
x
)
is one-one function when
x
∈
(
−
∞
,
−
2
)
∪
(
4
,
∞
)
x\in(-\infty,-2)\cup(4,\infty)
x
∈
(
−
∞
,
−
2
)
∪
(
4
,
∞
)
.
B
The total number of turning points of
p
(
x
)
p(x)
p
(
x
)
is
9
9
9
.
C
p
(
x
)
>
0
p(x)>0
p
(
x
)
>
0
when
x
∈
(
−
1
,
0
)
∪
(
1
,
2
)
∪
(
2
,
3
)
∪
(
3
,
4
)
x\in(-1,0)\cup(1,2)\cup(2,3)\cup(3,4)
x
∈
(
−
1
,
0
)
∪
(
1
,
2
)
∪
(
2
,
3
)
∪
(
3
,
4
)
.
D
There are exactly
9
9
9
points on
p
(
x
)
p(x)
p
(
x
)
where the slope of the tangent is zero.
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Details
Q28
00:00
5 Jun 2022
Q28.
Consider a polynomial function
p
(
x
)
=
−
0.01
(
x
−
1
)
(
x
−
2
)
2
(
x
−
3
)
2
(
x
−
4
)
x
(
x
+
1
)
(
x
+
2
)
2
p(x)=-0.01(x-1)(x-2)^2(x-3)^2(x-4)x(x+1)(x+2)^2
p
(
x
)
=
−
0.01
(
x
−
1
)
(
x
−
2
)
2
(
x
−
3
)
2
(
x
−
4
)
x
(
x
+
1
)
(
x
+
2
)
2
. Choose the correct options from the following.
A
p
(
x
)
p(x)
p
(
x
)
is one-one function when
x
∈
(
−
∞
,
−
2
)
∪
(
4
,
∞
)
x\in(-\infty,-2)\cup(4,\infty)
x
∈
(
−
∞
,
−
2
)
∪
(
4
,
∞
)
.
B
The total number of turning points of
p
(
x
)
p(x)
p
(
x
)
is
9
9
9
.
C
p
(
x
)
>
0
p(x)>0
p
(
x
)
>
0
when
x
∈
(
−
1
,
0
)
∪
(
1
,
2
)
∪
(
2
,
3
)
∪
(
3
,
4
)
x\in(-1,0)\cup(1,2)\cup(2,3)\cup(3,4)
x
∈
(
−
1
,
0
)
∪
(
1
,
2
)
∪
(
2
,
3
)
∪
(
3
,
4
)
.
D
There are exactly
9
9
9
points on
p
(
x
)
p(x)
p
(
x
)
where the slope of the tangent is zero.
Save
Check
Details
