Vertical Asymptotes of Rational Functions

Question 1

Question 4

Revolt · Accepted Answer

x = −3: asymptote; x = −2: asymptote; x = 0: hole; x = 2: neither; x = 3: neither; x = 5: neither; asymptote

Question 2

Question 5

Revolt · Accepted Answer

asymptote

Question 3

Question 6

Revolt · Accepted Answer

hole

Question 4

Question 7

Revolt · Accepted Answer

neither

Question 5

Question 8

Revolt · Accepted Answer

neither

Question 6

Question 9

Revolt · Accepted Answer

neither

Question 7

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

Revolt · Accepted Answer

8.31

Question 8

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

Revolt · Accepted Answer

a = 0.1, b = 20.775, c = 0.02

Question 9

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

Revolt · Accepted Answer

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

Question 10

Question 15

Revolt · Accepted 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.

Vertical Asymptotes of Rational Functions Answers

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