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

Unit Test — Cumulative exam Answers

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21
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Which inequality is equivalent to ?

Question illustration
A
mc005-2.jpg
Option A
B
mc005-3.jpg
Option B
C
mc005-4.jpg
Option C
D
mc005-5.jpg
Option D
22
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Which function has a horizontal asymptote of y = 3?

f
f(x) = 3(2x)
f
f(x) = 2(4)x–3
f
f(x) = 2(3x)
f
f(x) = 2(4x) + 3
23

What is the value of i 97 – i?

A
–i
B
0
C
–2i
D
i Superscript 96
Option D
24

What is the solution of ?

Question illustration
A
6
B
9
C
18
D
81
25

For what values of x does ?

Question illustration
A
x = –3, x = 1
B
x = –1, x = 3
C
x = negative three-halves, x = 2
Option C
D
x = negative 2, x = three-halves
Option D
26

What are the domain and range of f(x) = 2(3x)?

A
domain: ; range:
Option A
B
domain: ; range:
Option B
C
domain: ; range:
Option C
D
domain: ; range:
Option D
27

Which graph represents ?

Question illustration
A
On a coordinate plane, a parabola with a vertex at (0, 0) opens up.
Option A
B
On a coordinate plane, a curve that begins at (0, 0) opens down and to the right in quadrant 1.
Option B
C
On a coordinate plane, a cubic function is vertical and goes through (0, 0).
Option C
D
On a coordinate plane, a cubic function is horizontal and goes through (0, 0).
Option D
28

If f(x) = x2 – 1 and g(x) = 2x – 3, what is the domain of ?

Question illustration
A
mc015-2.jpg
Option A
B
mc015-3.jpg
Option B
C
mc015-4.jpg
Option C
D
mc015-5.jpg
Option D
29

If , what is the value of c?

Question illustration
A
1
B
2
C
3
D
5
30

The scatterplot shows the ages and finishing times of seven men who ran a charity 5K run. Use the labeled points to create a linear model that predicts the race time (y) of a man of any age (x). Which equation represents this linear model?

Question illustration
A
mc007-2.jpg
Option A
B
mc007-3.jpg
Option B
C
mc007-4.jpg
Option C
D
mc007-5.jpg
Option D
31

What is the solution of ?

Question illustration
A
x = 5
B
x = 13
C
x = 20
D
x = 328
32

Which expression is equivalent to ?

Question illustration
A
2 log Subscript 5 Baseline x + log Subscript 5 Baseline 4
Option A
B
2 log Subscript 5 Baseline x + log Subscript 5 Baseline 16
Option B
C
2 log Subscript 5 Baseline x + 2 log Subscript 5 Baseline 4
Option C
D
2 log Subscript 5 Baseline x + log Subscript 5 Baseline 4
Option D
33

Which table shows a linear function?

A
mc004-1.jpg
Option A
B
mc004-2.jpg
Option B
C
mc004-3.jpg
Option C
D
mc004-4.jpg
Option D
34

Which polynomial function has a leading coefficient of 1, roots –3 and 8 with multiplicity 1, and root 4 with multiplicity 2?

A
f(x) = 2(x + 3)(x + 4)(x – 3)
B
f(x) = 2(x – 8)(x – 4)(x + 3)
C
f(x) = (x + 8)(x + 4)(x + 4)(x – 3)
D
f(x) = (x – 8)(x – 4)(x – 4)(x + 3)
35

What is the solution set to log(x + 7) > log3x?

A
(–∞, 3)
B
(–7, 0)
C
(0, 3)
D
(3, ∞)
36

According to the Fundamental Theorem of Algebra, how many roots exist for the polynomial function?f(x) = (x3 – 3x + 1)2

A
2 roots
B
3 roots
C
6 roots
D
9 roots
37

Which of the following is true regarding the solution to the logarithmic equation below?

Question illustration
A
is not a true solution because
Option A
B
is not a true solution because
Option B
C
is a true solution because
Option C
D
is a true solution because
Option D
38

The function y = – 3 is graphed only over the domain of {x | –8 < x < 8}. What is the range of the graph?

Question illustration
A
{y | –5 < y < 5}
B
{y | –5 < y < –1}
C
{y | 1 < y < 5}
D
{y | 1 < y < –1}
39

What is the solution of ?

Question illustration
A
–8
B
–6
C
8
D
9
40

The values in the table represent the graph of a continuous function. Which interval must contain an x-intercept?xy–3.1–1.85–2.7–0.84–2.3–0.09–1.90.44–1.50.79–1.11.00–0.71.10–0.31.130.11.13

A
–3.1 < x < –2.7
B
–2.3 < x < –1.9
C
–1.5 < x < –1.1
D
–0.3 < x < 0.1

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