Vertical Asymptotes of Rational Functions

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For the inverse variation equation p=8/v, what is the value of V when p =1/2?

16

For the inverse variation equation p=8/v, what is the value of V when p = 4?

2

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

2

The speed, s, of the current in a certain whirlpool is modeled by s=30/d, 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 infinity.

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

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

Where are the asymptotes for the following function located? f(x)=14/(x-5)(x+5)

x = -1 and x = 5

The graph of the function f(x) = 10/x+2 is shown below. On a coordinate plane, a hyperbola is shown. Both curves approach x = negative 2. What is the vertical asymptote of the function?

x = -2

The graph of the function f(x) = 3/x+5 is shown below. On a coordinate plane, a hyperbola is shown. Both curves approach x = negative 5. What is the vertical asymptote of the function?

x = -5

Where is the removable discontinuity of f (x) = x+5/x2+3x-10 located?

x = -5

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

x=-1


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