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  • 23-05-2022
  • Mathematics
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Which graph shows the asymptotes of the function f(x)=4x-8/2x+3

Which graph shows the asymptotes of the function fx4x82x3 class=

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goddessboi goddessboi
  • 23-05-2022

Answer:

Graph C

Step-by-step explanation:

Assuming you mean [tex]\displaystyle f(x)=\frac{4x-8}{2x+3}[/tex]:

  • Our vertical asymptote will be the line equal to the solution of [tex]2x+3=0[/tex], which is [tex]x=-\frac{3}{2}[/tex]
  • Our horizontal asymptote will be equal to the ratio of the leading coefficients since they have the same degree, so [tex]y=2[/tex]

Thus, the correct graph is C.

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