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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25

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

Question illustration
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
29

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 approaches 0 from above, the pressure approaches infinity. The function is undefined at V = 0, which is a vertical asymptote.

30

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.
31

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.

32

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.

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