Vertical Asymptotes of Rational Functions

Question 1

The graph of the function is shown below.What is the vertical asymptote of the function?

Revolt · Accepted Answer

x = –2

Question 2

Where is the hole for the following function located?

Revolt · Accepted Answer

x = –3

Question 3

For the inverse variation equation xy = k, what is the constant of variation, k, when x = –3 and y = –2?

Revolt · Accepted Answer

6

Question 4

For the inverse variation equation , what is the value of V when p = ?

Revolt · Accepted Answer

16

Question 5

The graph of the function is shown below.What is the vertical asymptote of the function?

Revolt · Accepted Answer

x = –5

Question 6

Which statement is true about the discontinuities of the function f(x)?

Revolt · Accepted Answer

There are asymptotes at x = 7 and .

Question 7

For the inverse variation equation xy = k, what is the constant of variation, k, when x = 7 and y = 3?

Revolt · Accepted Answer

21

Question 8

Various cylindrical storage tanks are designed to hold a given amount of oil. The inverse variation equation shows the relationship between the area of the base of the cylinder, x, and the height of the oil in the tank, y.What is the base area of the tank to the nearest square foot if the height of the oil in the tank is 38 feet?

Revolt · Accepted Answer

208 ft2

Question 9

Where is the removable discontinuity of located?

Revolt · Accepted Answer

x = –5

Question 10

Given x varies inversely with y and xy = 2, what is the value of x when y = 1?

Revolt · Accepted Answer

2

Vertical Asymptotes of Rational Functions Answers

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