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Identify all asymptotes of the graph of $y = \frac{(x - 1)}{(x - 1)^3 (x + 2)(x - 4)}$.

 Jun 18, 2021
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We have  a     lower power polynomial in the  numerator  than in  the  denominator......thus....we have a horizontal  asymptote  at   y    =   0

 

 

Any  value of x that  makes  the  denominator  =  0  will produce a  vertical asymptote

 

These  values  are   x =  1  ,  x =  -2    and x =  4

 

See the graph here   : https://www.desmos.com/calculator/83yexvcw5l

 

 

cool cool cool

 Jun 18, 2021

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