AnswersCREDIT RE-SEAT MNPS Integrated Math III IC S1 25-26Unit Test

Unit Test — Unit test Answers

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What is the polynomial function of lowest degree with leading coefficient of 1 and roots , –4, and 4?

Question illustration
A
mc024-2.jpg
Option A
B
mc024-3.jpg
Option B
C
mc024-4.jpg
Option C
D
mc024-5.jpg
Option D
2
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The owner of a coffee shop chain creates a graph representing sales in thousands of dollars. She describes the characteristics as follows:• There have been two turning points in sales this year.• Sales are expected to increase in the long run.• The least amount of sales during the year is about $250,000.Which graph correctly shows the coffee shop’s sales?

A
mc025-1.jpg
Option A
B
mc025-2.jpg
Option B
C
mc025-3.jpg
Option C
D
mc025-4.jpg
Option D
3

Which polynomial function has a leading coefficient of 2, root –5 with multiplicity 3, and root 12 with multiplicity 1?

A
f(x) = 2(x – 5)(x – 5)(x – 5)(x + 12)
B
f(x) = 2(x + 5)(x + 5)(x + 5)(x – 12)
C
f(x) = 3(x – 5)(x – 5)(x + 12)
D
f(x) = 3(x + 5)(x + 5)(x – 12)
4

Which statement describes how the graph of the given polynomial would change if the term –3x6 is added?y = 2x6 + 9x5 – 7x3 – 1

A
Both ends of the graph will approach negative infinity.
B
The ends of the graph will extend in opposite directions.
C
Both ends of the graph will approach positive infinity.
D
The ends of the graph will approach zero.
5

A polynomial function has a root of –6 with multiplicity 1, a root of –2 with multiplicity 3, a root of 0 with multiplicity 2, and a root of 4 with multiplicity 3. If the function has a positive leading coefficient and is of odd degree, which statement about the graph is true?

A
The graph of the function is positive on (–6, –2).
B
The graph of the function is negative on (, 0).
Option B
C
The graph of the function is positive on (–2, 4).
D
The graph of the function is negative on (4, ).
Option D
6

A polynomial function has a root of –3 with multiplicity 2, a root of 0 with multiplicity 1, a root of 1 with multiplicity 1, and a root of 3 with multiplicity 2. If the function has a positive leading coefficient and is of even degree, which could be the graph of the function?

A
mc015-1.jpg
Option A
B
mc015-2.jpg
Option B
C
mc015-3.jpg
Option C
D
mc015-4.jpg
Option D
7

Which of the following is the complete list of roots for the polynomial function ?

Question illustration
A
–3 + 2i, –3 – 2i
B
–2, –4
C
–2, –4, –3 + 2i, –3 – 2i
D
–2, –4, –3 + 2i, 3 + 2i
8

How many integers satisfy the inequality (x 2 – 4)(x 2 – 10) < 0?

A
none
B
two
C
four
D
an infinite number
9

What is the solution to (x – 3)3(x + 1)(x – 2) ≤ 0?

A
(–ꝏ, –1) U (2, 3)
B
(–ꝏ, –1] U [2, 3]
C
(–1, 2) U (3, ꝏ)
D
[–1, 2] U [3, ꝏ)
10

Three roots of a fifth degree polynomial function f(x) are –2, 2, and 4 + i. Which statement describes the number and nature of all roots for this function?

A
f(x) has two real roots and one imaginary root.
B
f(x) has three real roots.
C
f(x) has five real roots.
D
f(x) has three real roots and two imaginary roots.
11

Which statement describes the graph of this polynomial function?

Question illustration
A
The graph crosses the x-axis at x = 0 and touches the x-axis at x = 3.
B
The graph touches the x-axis at x = 0 and crosses the x-axis at x = 3.
C
The graph crosses the x-axis at x = 0 and touches the x-axis at x = –3.
D
The graph touches the x-axis at x = 0 and crosses the x-axis at x = –3.
12

The square root of a number is greater than the square of the number. For what set of numbers is this true?

A
(0, 1)
B
[0, 1]
C
[1, ꝏ)
D
(1, ꝏ)
13

Which expression is a possible leading term for the polynomial function graphed below?

Question illustration
A
–4x8
B
–4x5
C
4x5
D
4x8
14

Which table describes the behavior of the graph of f(x) = 2x3 – 26x – 24?

A
mc012-1.jpg
Option A
B
mc012-2.jpg
Option B
C
mc012-3.jpg
Option C
D
mc012-4.jpg
Option D
15

Which polynomial function could be represented by the graph below?

Question illustration
A
mc021-2.jpg
Option A
B
mc021-3.jpg
Option B
C
mc021-4.jpg
Option C
D
mc021-5.jpg
Option D
16

Let a, b, and c be real numbers where a b c 0. Which of the following functions could represent the graph below?

Question illustration
A
f(x) = x2(x – a)2(x – b)4(x – c)
B
f(x) = x3(x – a)3(x – b)(x – c)2
C
f(x) = x4(x – a)(x – b)3(x – c)3
D
f(x) = (x – a)2(x – b)(x – c)6
17

What is the solution to x 3 + 4x 2 > x + 4?

A
–4 < x < –1
B
–4 < x < 1
C
–4 1
D
x < –4 or –1 < x < 1
18

Which of the following describes the roots of the polynomial function ?

Question illustration
A
–2 with multiplicity 2, 4 with multiplicity 1, and –1 with multiplicity 3
B
–2 with multiplicity 3, 4 with multiplicity 2, and –1 with multiplicity 4
C
2 with multiplicity 2, –4 with multiplicity 1, and 1 with multiplicity 3
D
2 with multiplicity 3, –4 with multiplicity 2, and 1 with multiplicity 4
19

What are the possible degrees for the polynomial function?

Question illustration
A
degrees of 6 or greater
B
even degrees of 6 or greater
C
degrees of 5 or greater
D
odd degrees of 5 or greater
20

What is the solution to (x – 5)(x + 2)(x – 7) < 0?

A
A number line going from negative 8 to 8. Open circles are at negative 2, 5, and 7. The line is shaded to the left of negative 2 and between 5 and 7.
Option A
B
A number line going from negative 8 to 8. Open circles are at negative 2, 5, and 7. The line is shaded between negative 2 and 5 and to the right of 7.
Option B
C
A number line going from negative 8 to 8. Closed circles are at negative 2, 5, and 7. The line is shaded to the left of negative 2 and between 5 and 7.
Option C
D
Option
Option D

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