Graph Polynomial Functions and End Behavior
Algebra · Flashcards · Recall
ALGEBRA · FLASHCARDS
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QUESTION
What does it indicate if
f
(
x
)
f(x)
f
(
x
)
is written as
a
∏
(
x
−
r
i
)
m
i
a\prod (x-r_i)^{m_i}
a
∏
(
x
−
r
i
)
m
i
?
QUESTION
What is the multiplicity of a zero
r
r
r
if
(
x
−
r
)
m
(x-r)^m
(
x
−
r
)
m
is a factor of
f
(
x
)
f(x)
f
(
x
)
?
QUESTION
Which end behavior matches degree
7
7
7
with leading coefficient
2
2
2
?
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ANSWER
As
x
→
−
∞
x\to-\infty
x
→
−
∞
,
f
(
x
)
→
−
∞
f(x)\to-\infty
f
(
x
)
→
−
∞
;
x
→
∞
x\to\infty
x
→
∞
,
f
(
x
)
→
∞
f(x)\to\infty
f
(
x
)
→
∞
. Odd degree with positive leading coefficient.
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