meredith48034
meredith48034 meredith48034
  • 04-02-2020
  • Mathematics
contestada

describe the long-term behavior ​

describe the longterm behavior class=

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 05-02-2020

Answer:

  a. Slant asymptote with a slope of 5

Step-by-step explanation:

Dividing out the polynomials, you get ...

  [tex]\dfrac{5x^2-x+13}{x+10}=5x-51+\dfrac{523}{x+10}[/tex]

As the magnitude of x gets large, the fraction goes to zero, and the behavior matches the line ...

  y = 5x -51

This is a slant asymptote with a slope of 5 and a non-zero y-intercept.

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