Vertical Asymptotes of Rational Functions

Question 1

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

Revolt · Accepted Answer

mc027-28.jpg

Question 2

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?

Revolt · Accepted Answer

As you move closer to the center of the whirlpool, the speed of the current approaches infinity.

Question 3

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

Revolt · Accepted Answer

2

Question 4

Consider the table representing a rational function.undefinedundefinedundefinedWhich statement describes the graph of the function?

Revolt · Accepted Answer

The function has a hole when x = 3, and vertical asymptotes when x = 0 and x = 5.

Question 5

The graph below shows the function .Where is the removable discontinuity of f(x) located?

Revolt · Accepted Answer

x = –2

Question 6

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

Revolt · Accepted Answer

16

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

Where is the hole for the following function located?

Revolt · Accepted Answer

x = –3

Question 9

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 10

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

Revolt · Accepted Answer

There are asymptotes at x = 7 and .

Vertical Asymptotes of Rational Functions Answers

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