Zeros of Polynomials to Construct Graphs
Algebra · Flashcards · Application
ALGEBRA · FLASHCARDS
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QUESTION
For
f
(
x
)
=
−
3
(
x
−
2
)
2
(
x
+
1
)
f(x)=-3(x-2)^2(x+1)
f
(
x
)
=
−
3
(
x
−
2
)
2
(
x
+
1
)
, what is the end behavior as
x
→
−
∞
x\to-\infty
x
→
−
∞
?
QUESTION
For
f
(
x
)
=
(
x
−
1
)
2
(
x
+
3
)
f(x)=(x-1)^2(x+3)
f
(
x
)
=
(
x
−
1
)
2
(
x
+
3
)
, does the graph cross or bounce at
x
=
−
3
x=-3
x
=
−
3
?
QUESTION
For
f
(
x
)
=
x
2
(
x
−
3
)
(
x
+
1
)
f(x)=x^2(x-3)(x+1)
f
(
x
)
=
x
2
(
x
−
3
)
(
x
+
1
)
, does the graph cross or bounce at
x
=
0
x=0
x
=
0
?
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ANSWER
It bounces at
x
=
0
x=0
x
=
0
(even multiplicity
2
2
2
). Even multiplicity causes bouncing behavior.
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