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avatar+381 

What are the equations of the asymptotes of the graph of  f(x)=5/x+7       −8 ?

 

Select each correct answer.

 

x = 7

x=−7

y=−8

y = 8

 

Thank you!!! p.s the -8 on the side is next to the fraction, which is on the left.

 Feb 1, 2019
 #1
avatar+111328 
+2

f(x) =  5 / (x + 7)  - 8

 

Note that x = -7   makes a denominator = 0

So....this is the vertical asymptote

 

The rational  expression  has a lower degree polynomial / higher degree polynomial

This means that we have a horizontal asymptote at y = 0

But the "-8 " shifts this down 8 units

So....the horzontal asymptote  is  y = -8

 

 

cool cool cool

 Feb 1, 2019
 #2
avatar+381 
+1

Thanks much!!!

PhoenixForever  Feb 1, 2019

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