Question 1 - End behaviour — determined by degree and sign of leading coefficient Practice | Prasnya
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Week 4
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Graphs of Polynomials — Intercepts, Multiplicities, and End Behaviour - Graphs of Polynomials...
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End behaviour —...
Question 1
00:00
Est. 2 min
Marks:
+3.00
0.00
Passage
Consider the three polynomials:
p
(
x
)
=
4
x
5
+
9
x
4
+
b
1
x
2
+
c
1
p(x) = 4x^5 + 9x^4 + b_1 x^2 + c_1
q
(
x
)
=
−
5
x
4
+
8
x
2
+
b
2
x
+
c
2
q(x) = -5x^4 + 8x^2 + b_2 x + c_2
s
(
x
)
=
x
7
+
72
x
5
+
b
3
x
3
+
c
2
x
2
+
d
3
x
+
c
3
s(x) = x^7 + 72x^5 + b_3 x^3 + c_2 x^2 + d_3 x + c_3
Use this information to answer the given sub-questions.
Question
Which of the following options is/are true?
Comprehension
Medium Difficulty
23 February 2025
A
q
(
x
)
→
−
∞
q(x) \to -\infty
as
x
→
+
∞
x \to +\infty
.
B
p
(
x
)
→
+
∞
p(x) \to +\infty
as
x
→
+
∞
x \to +\infty
.
C
q
(
x
)
→
+
∞
q(x) \to +\infty
as
x
→
+
∞
x \to +\infty
.
D
s
(
x
)
→
−
∞
s(x) \to -\infty
as
x
→
+
∞
x \to +\infty
.