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

Vertical Asymptotes of Rational Functions Answers

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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.
2
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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
3

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.
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

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
6

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
7

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
8

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
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

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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