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Graphing Polynomial Functions Answers

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Given f(x) = x3 – 2x2 – x + 2, the roots of f(x) are .

A
1, –2, –1, 2
B
–1, 1, 2
C
–1, 1, –2
D
–1, 1, –2, 0
E
–1, 1, 2, 0
2
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Determine the end behavior of f(x).

A
as ; as
B
as ; as
C
as ; as
D
as ; as
3

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5

At which roots does the graph cross the x-axis?

A
0
B
-2
C
-4
D
5
6

Which of the following could represent the graph of f(x) = x3 – x2 – 6x?

A
Option
B
Option
C
Option
7

Determine the multiplicity of the roots of the function k(x) = x(x + 2)3(x + 4)2(x − 5)4. 0 has multiplicity −2 has multiplicity −4 has multiplicity 5 has multiplicity

Answers:
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8

The graph of f(x) is given on the right.Which roots of f(x) have an odd multiplicity?

A
-1
B
1
C
3
9

13✔ 4 could be a multiplicity of the root at x = 1.

A
1
B
3
C
✔ 4

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