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Vertical Asymptotes of Rational Functions Answers

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

The function has holes when x = 0, x = 3, and x = 5.

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

The function has holes when x = 0 and x = 3, and a vertical asymptote when x = 5.

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

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

–6

Negative two-thirds

Three-halves

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

The function has holes when x = 0 and x = 4.

The function has vertical asymptotes when x = 0 and x = 4.

The function has a vertical asymptote when x = 0 and a hole when x = 4.

The function has a hole when x = 0 and a vertical asymptote when x = 4.

Where are the asymptotes for the following function located?

x = –1 and x = 5

x = –1 and x = 14

x = 1 and x = –5

x = 14 and x = 5

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,

208 ft2

7,895 ft2

11,400,000 ft2

433,200,000 ft2

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?

As you move closer to the center of the whirlpool, the speed of the current approaches 0.

As you move closer to the center of the whirlpool, the speed of the current approaches 1.

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

As you move closer to the center of the whirlpool, the speed of the current approaches 300.

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

x = –10

x = –2

x = 0

x = 2

What are the removable discontinuities of the following function?

x = –6, x = 0, and x = 6

x = –6 and x = 6

x = 0 and x = –6

x = 0 and x = 6

Where is the removable discontinuity of located?

x = –5

x = –2

x = 2

x = 5

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

x = –3

x = –2

x = 0

x = 3

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Vertical Asymptotes of Rational Functions Answers

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