AnswersFL-1200330-Algebra 2 CRGraphing Polynomial Functions

Graphing Polynomial Functions Answers

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A polynomial function has a root of –4 with multiplicity 4, a root of –1 with multiplicity 3, and a root of 5 with multiplicity 6. If the function has a positive leading coefficient and is of odd degree, which could be the graph of the function?

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Option A
B
Option
Option B
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Option
Option C
D
Option
Option D
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Let a and b be real numbers where a b 0. Which of the following functions could represent the graph below?

Question illustration
A
f(x) = x(x – a)3(x – b)3
B
f(x) = (x – a)2(x – b)4
C
f(x) = x(x – a)6(x – b)2
D
f(x) = (x – a)5(x – b)
3

Which of the following graphs could be the graph of the function ?

Question illustration
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Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
4

Which of the following graphs could be the graph of the function f(x) = x4 + x3 – x2 – x?

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Option A
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Option
Option B
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Option
Option C
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Option
Option D
5

Which of the following describes the zeroes of the graph of f(x) = 3x6 + 30x5 + 75x4?

A
–5 with multiplicity 2 and with multiplicity 4
Option A
B
5 with multiplicity 2 and with multiplicity 4
Option B
C
–5 with multiplicity 2 and 0 with multiplicity 4
D
5 with multiplicity 2 and 0 with multiplicity 4
6

Which graph shows the same end behavior as the graph of f(x) = 2x6 – 2x2 – 5?

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Option
Option A
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Option
Option B
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Option
Option C
D
Option
Option D

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