Question 2 - End behaviour — determined by degree and sign of leading coefficient Practice | Prasnya
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Graphs of Polynomials — Intercepts, Multiplicities, and End Behaviour - Graphs of Polynomials...
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End behaviour —...
Question 2
00:00
Est. 2 min
Marks:
+4.00
0.00
Consider the polynomials
p
(
x
)
=
x
3
−
3
x
2
+
100
x
−
1
p(x)=x^3-3x^2+100x-1
and
q
(
x
)
=
x
3
+
x
+
5
q(x)=x^3+x+5
. Then which of the following statements are correct?
Single correct
Medium Difficulty
24 October 2024
A
p
(
x
)
+
q
(
x
)
→
∞
p(x)+q(x)\to \infty
as
x
→
−
∞
x\to -\infty
.
B
p
(
x
)
−
q
(
x
)
→
−
∞
p(x)-q(x)\to -\infty
as
x
→
∞
x\to \infty
.
C
5
p
(
x
)
→
∞
5p(x)\to \infty
as
x
→
−
∞
x\to -\infty
.
D
1
2
q
(
x
)
→
∞
\dfrac{1}{2}q(x)\to \infty
as
x
→
−
∞
x\to -\infty
.
