AnswersFL-1200330-Algebra 2 CRGraphing Polynomial Functions

Graphing Polynomial Functions Answers

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1
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Which statement describes the graph of f(x) = 4x7 + 40x6 + 100x5?

A
The graph crosses the x-axis at x = 0 and touches the x-axis at x = 5.
B
The graph touches the x-axis at x = 0 and crosses the x-axis at x = 5.
C
The graph crosses the x-axis at x = 0 and touches the x-axis at x = –5.
D
The graph touches the x-axis at x = 0 and crosses the x-axis at x = –5.
2
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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?

A
mc016-1.jpg
Option A
B
mc016-2.jpg
Option B
C
mc016-3.jpg
Option C
D
mc016-4.jpg
Option D
3

What is the end behavior of the graph of the polynomial function f(x) = 2x3 – 26x – 24?

A
As , and as , .
Option A
B
As , and as , .
Option B
C
As , and as , .
Option C
D
As , and as , .
Option D
4

At which root does the graph of f(x) = (x – 5)3(x + 2)2 touch the x-axis?

A
–5
B
–2
C
2
D
5
5

What is the end behavior of the graph of the polynomial function f(x) = 3x6 + 30x5 + 75x4?

A
As , and as , .
Option A
B
As , and as , .
Option B
C
As , and as , .
Option C
D
As , and as , .
Option D
6

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

A
mc003-1.jpg
Option A
B
mc003-2.jpg
Option B
C
mc003-3.jpg
Option C
D
mc003-4.jpg
Option D
7

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

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
8

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

Question illustration
A
mc018-2.jpg
Option A
B
mc018-3.jpg
Option B
C
mc018-4.jpg
Option C
D
mc018-5.jpg
Option D
9

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
10

Which graph has the same end behavior as the graph of f(x) = –3x3 – x2 + 1?

A
mc004-1.jpg
Option A
B
mc004-2.jpg
Option B
C
mc004-3.jpg
Option C
D
mc004-4.jpg
Option D

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