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If \(y=\frac{12x^4+4x^3+9x^2+5x+3}{3x^4+2x^3+8x^2+3x+1}\), at what value of y will there be a horizontal asymptote?

 Mar 5, 2020
 #1
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This is  a  "same degree / same degree"  rational function

 

The  horizontal asymptote  will  be   y =  the  ratio  of the  coefficients  on  both of the 4th power terms  in the  numerator/ denominator

 

So  the horizontal asymptote  is

 

y =  12 / 3    =   4

 

Se the  graph here to  confirm this  :

 

https://www.desmos.com/calculator/hjmx53zp3d

 

cool cool cool

 


 

 Mar 5, 2020

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