Graph Polynomial Functions and End Behavior
Algebra 2 · Flashcards
ALGEBRA 2 · FLASHCARDS
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QUESTION
Identify the zeros of
f
(
x
)
=
(
x
+
5
)
2
(
x
−
1
)
f(x)=(x+5)^2(x-1)
f
(
x
)
=
(
x
+
5
)
2
(
x
−
1
)
.
QUESTION
Identify the multiplicity of the zero
x
=
2
x=2
x
=
2
in
f
(
x
)
=
(
x
−
2
)
3
(
x
+
1
)
f(x)=(x-2)^3(x+1)
f
(
x
)
=
(
x
−
2
)
3
(
x
+
1
)
.
QUESTION
Which end behavior matches
f
(
x
)
=
−
2
x
6
+
5
x
f(x)=-2x^6+5x
f
(
x
)
=
−
2
x
6
+
5
x
?
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ANSWER
As
x
→
±
∞
x\to\pm\infty
x
→
±
∞
,
f
(
x
)
→
−
∞
f(x)\to-\infty
f
(
x
)
→
−
∞
. Even degree
6
6
6
with negative leading coefficient
−
2
-2
−
2
.
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