Answers KISD SS-3391B-Algebra II Honors BRational Equations

Vertical Asymptotes of Rational Functions Answers

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

-1

One-half

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

x = –5

x = –3

x = 3

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

Where is the hole for the following function located?

x = –3

y = –3

x = 3

y = 3

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.

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

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?