Vertical Asymptotes of Rational Functions

Question 1

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 2

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 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

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 5

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

Revolt · Accepted Answer

x = –5

Question 6

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

Revolt · Accepted Answer

x = 3

Question 7

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

Revolt · Accepted Answer

There are asymptotes at x = 7 and .

Question 8

What are the removable discontinuities of the following function?

Revolt · Accepted Answer

x = –6 and x = 6

Question 9

Where is the removable discontinuity of located?

Revolt · Accepted Answer

x = –5

Question 10

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

Revolt · Accepted Answer

21

Vertical Asymptotes of Rational Functions Answers

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