myerslala
myerslala myerslala
  • 01-02-2018
  • Mathematics
contestada

The graph shown here is the graph of which of the following rational functions

The graph shown here is the graph of which of the following rational functions class=

Respuesta :

Zoey04 Zoey04
  • 01-02-2018
The graph above is the graph of,

[tex]f(x) = \frac{1}{x(x - 3)} [/tex]
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kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 24-02-2019

Answer:

B. [tex]f(x)=\frac{1}{x(x-3)}[/tex]

Step-by-step explanation:

The given graph has two vertical asymptotes. These are;

[tex]x=0[/tex] and [tex]x=3[/tex]

This implies that the rational function must have denominator of

[tex]x(x-3)[/tex]

The graph also has a horizontal asymptote of  [tex]y=0[/tex].

The function that has these properties is

[tex]f(x)=\frac{1}{x(x-3)}[/tex]

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