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

Vertical Asymptotes of Rational Functions Answers

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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
2
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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
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

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
5

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
6

Where is the hole for the following function located?

Question illustration
A
x = –3
B
y = –3
C
x = 3
D
y = 3
7

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
8

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
9

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.
10

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
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

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
13

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
14

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
15

Where is the removable discontinuity of located?

Question illustration
A
x = –5
B
x = –2
C
x = 2
D
x = 5
16

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.
17

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
18

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
19

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
20

Where is the hole for the following function located?

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

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