AnswersMO-Algebra II A-CRUnit Test

Unit Test — Unit test Answers

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Where are the vertical asymptotes for the following function located?

Question illustration
A
x = –4 and x = 6
B
x = –4 and x = 7
C
x = 4 and x = –6
D
x = 6 and x = 7
2
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The inverse variation equation shows the relationship for a cruise ship’s travel between the rate of travel, x, and the time to travel, y for a distance of 600 miles. What is the rate of travel in miles per hour (mph) if the trip takes 24 hours?

Question illustration
A
2.5 mph
B
25 mph
C
144 mph
D
14,400 mph
3

Which statement is true about the discontinuities of the function f(x)?

Question illustration
A
There are asymptotes at and .
Option A
B
There are holes at and .
Option B
C
There are asymptotes at and .
Option C
D
There are holes at and .
Option D
4

The equation shows that the density of a particular substance equals a mass of 13 grams divided by the volume of the substance. What happens to the density as the volume approaches 0?

Question illustration
A
The density approaches infinity.
B
The density approaches 0.
C
The density approaches 1.
D
The density approaches 13.
5

Consider the table representing a rational function.undefinedWhich equation could represent a vertical asymptote of the graph of the function?

Question illustration
A
mc027-26.jpg
Option A
B
mc027-27.jpg
Option B
C
mc027-28.jpg
Option C
D
mc027-29.jpg
Option D
6

What are the removable discontinuities of the following function?

Question illustration
A
x = –6, x = 0, and x = 6
B
x = –6 and x = 6
C
x = 0 and x = –6
D
x = 0 and x = 6
7

Where is the hole for the following function located?

Question illustration
A
x = –3
B
y = –3
C
x = 3
D
y = 3
8

For the inverse variation equation , what is the value of V when p = ?

Question illustration
A
One-sixteenth
Option A
B
One-fourth
Option B
C
4
D
16
9

The graph below shows the function .Where is the removable discontinuity of f(x) located?

Question illustration
A
x = –5
B
x = 0
C
x = –2
D
x = 5
10

Consider the table representing a rational function.undefinedundefinedundefinedWhich statement describes the graph of the function?

Question illustration
A
The function has holes when x = 0, x = 3, and x = 5.
B
The function has vertical asymptotes when x = 0, x = 3, and x = 5.
C
The function has holes when x = 0 and x = 3, and a vertical asymptote when x = 5.
D
The function has a hole when x = 3, and vertical asymptotes when x = 0 and x = 5.
11

Consider the table representing a rational function.undefinedundefinedWhich statement describes the graph of the function?

Question illustration
A
The function has holes when x = 0 and x = 4.
B
The function has vertical asymptotes when x = 0 and x = 4.
C
The function has a vertical asymptote when x = 0 and a hole when x = 4.
D
The function has a hole when x = 0 and a vertical asymptote when x = 4.
12

The graph of the function is shown below.What is the vertical asymptote of the function?

Question illustration
A
x = –10
B
x = –2
C
x = 0
D
x = 2
13

Various cylindrical storage tanks are designed to hold a given amount of oil. The inverse variation equation shows the relationship between the area of the base of the cylinder, x, and the height of the oil in the tank, y.What is the base area of the tank to the nearest square foot if the height of the oil in the tank is 38 feet?

Question illustration
A
208 ft2
B
7,985 ft2
C
11,400,000 ft2
D
433,200,000 ft2
14

Which statement is true about the discontinuities of the function f(x)?

Question illustration
A
There are holes at x = 7 and .
Option A
B
There are asymptotes at x = 7 and .
Option B
C
There are asymptotes at x = –7 and .
Option C
D
There are holes at (–7, 0) and .
Option D
15

The speed, s, of the current in a certain whirlpool is modeled by , where d is the distance from the center of the whirlpool. Which statement is true?

Question illustration
A
As you move closer to the center of the whirlpool, the speed of the current approaches 0.
B
As you move closer to the center of the whirlpool, the speed of the current approaches 1.
C
As you move closer to the center of the whirlpool, the speed of the current approaches infinity.
D
As you move closer to the center of the whirlpool, the speed of the current approaches 300.
16

For the inverse variation equation xy = k, what is the constant of variation, k, when x = 7 and y = 3?

A
Three-sevenths
Option A
B
Seven-thirds
Option B
C
10
D
21
17

Given x varies inversely with y and xy = 2, what is the value of x when y = 1?

A
-1
B
One-half
Option B
C
1
D
2
18

For the inverse variation equation xy = k, what is the constant of variation, k, when x = –3 and y = –2?

A
–6
B
Negative two-thirds
Option B
C
Three-halves
Option C
D
6
19

The graph of the function is shown below.What is the vertical asymptote of the function?

Question illustration
A
x = –5
B
x = –3
C
x = 3
D
x = 5
20

Where is the removable discontinuity of located?

Question illustration
A
x = –5
B
x = –2
C
x = 2
D
x = 5

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