AnswersFL-1200330-Algebra 2 CRGraphing Polynomial Functions

Graphing Polynomial Functions Answers

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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
2
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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
3

At which root does the graph of f(x) = (x + 4)6(x + 7)5 cross the x-axis?

A
–7
B
–4
C
4
D
7
4

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)
5

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
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
6

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
7

Which statement describes the graph of f(x) = –4x3 – 28x2 – 32x + 64?

A
The graph crosses the x-axis at x = 4 and touches the x-axis at x = –1.
B
The graph touches the x-axis at x = 4 and crosses the x-axis at x = –1.
C
The graph crosses the x-axis at x = –4 and touches the x-axis at x = 1.
D
The graph touches the x-axis at x = –4 and crosses the x-axis at x = 1.
8

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

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
9

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

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
10

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

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