Zeros of Polynomials to Construct Graphs
Algebra 2 · Flashcards
ALGEBRA 2 · FLASHCARDS
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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
How do you determine end behavior from a polynomial written in standard form
a
n
x
n
+
⋯
a_nx^n+\cdots
a
n
x
n
+
⋯
?
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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