AnswersOC27 MATH COLL ALGEBRA-1200710-S1-Degele-VOL7006PVertical Asymptotes of Rational Functions

Vertical Asymptotes of Rational Functions Answers

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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
2
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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
3

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.
4

Where is the removable discontinuity of located?

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

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
6

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
7

Where are the asymptotes for the following function located?

Question illustration
A
x = –1 and x = 5
B
x = –1 and x = 14
C
x = 1 and x = –5
D
x = 14 and x = 5
8

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

Question illustration
A
x = –3
B
x = –2
C
x = 0
D
x = 3
9

For the inverse variation equation , what is the value of V when p = 4?

Question illustration
A
One-eighth
Option A
B
One-half
Option B
C
2
D
32
10

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
11

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
12

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
13

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
14

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
15

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.
16

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.
17

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
18

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
19

Where is the hole for the following function located?

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

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

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