mrillyan
contestada

State the horizontal asymptote of the rational function. For full credit, explain the reasoning you used to find the horizontal asymptote. (5 points)
f(x)= x^2+3x-2/x-2

Respuesta :

GoddessofDork

So here are the rules of horizontal asymptotes:

  • Degree of Numerator > Degree of Denominator: No horizontal asymptote
  • Degree of Numerator = Degree of Denominator: [tex]y=\frac{\textsf{leading coefficient of numerator}}{\textsf{leading coefficient of denominator}}[/tex]
  • Degree of Numerator < Degree of Denominator: y = 0

Looking at the rational function, since the degree of the numerator is 2 and the degree of the denominator is 1 (and 2 > 1), this means that this function has no horizontal asymptote.