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

Vertical Asymptotes of Rational Functions Answers

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1
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Which of the following statements are true of this rational function? Check all of the boxes that apply.

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A
There is a removable discontinuity at x = –b.
B
There is a vertical asymptote at x = 0.
C
There are no removable discontinuities.
D
There is a vertical asymptote at x = –a.
E
There is a removable discontinuity at x = –a
2
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Question text not available

Answer:

20.775

3

Question text not available

Answer:

0.02

4

Use the values in the table to find the value of R. R =

Question illustration
Answer:

8.31

5

Question text not available

Answers:
Blank 1:0.1
Blank 2:20.775
Blank 3:0.02
6

Use the inverse variation equation to fill in the table. p = 8.31 V Volume(Liters) Pressure(kilopascals) 83.1 a b 0.4 415.5 c

Answers:
Blank 1:0.1
Blank 2:"20.775"
Blank 3:"0.02"
7

Use the equation where p = pressure and V = volume.What happens to the pressure as the volume approaches 0? Explain your reasoning.

Question illustration
Answer:

As the volume (V) approaches 0, the pressure (p) approaches infinity. This occurs because the variable V is in the denominator of the equation p = 8.31/V. As the denominator gets smaller and closer to 0, the overall value of the fraction increases without bound. Mathematically, there is a vertical asymptote at V = 0, and the function is undefined at that specific point since division by zero is impossible.

8

Question text not available

Answer:

To find the vertical asymptote of the gravitational force function, we examine the denominator, r^2. Setting the denominator to zero (r^2 = 0) shows that there is a vertical asymptote at r = 0. This means that as the distance (r) between two objects approaches zero, the gravitational force between them increases without bound, approaching infinity.

9

Identify the vertical asymptote(s) of each function. Check all of the boxes that apply.

A
x = -8
B
x = -2
C
x = -1
D
x = 1
E
x = 2
F
x = 8
10

Which functions have removable discontinuities (holes)? Check all of the boxes that apply.

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
11

Which did you include in your answer?

A
The pressure approaches infinity.
B
The function is undefined for V = 0.
C
There is an asymptote at V = 0.
12

Did your answer include the following?

A
Examine the denominator and find that r2 = 0 when r = 0.
B
Determine that there is a vertical asymptote at r = 0.
C
Conclude that as the distance between the objects approaches 0, the gravitational force between them approaches infinity.
13

x = -16x = -4x = 0x = 4x = 16

A
x = -16
B
x = -4
C
x = 0
D
x = 4
E
x = 16

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Lesson 5.5: Vertical Asymptotes of Rational Functions