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

Lesson 5.5: Vertical Asymptotes of Rational Functions Answers

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1
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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.
2
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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
3

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
4

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
5

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.
6

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
7

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.
8

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

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
9

Where is the hole for the following function located?

Question illustration
A
x = –3
B
y = –3
C
x = 3
D
y = 3
10

Where is the removable discontinuity of located?

Question illustration
A
x = –5
B
x = –2
C
x = 2
D
x = 5
11

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
12

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.

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