Post a New Question

college algebra

posted by .

Given the following rational function, find:
A. horizontal asymptotes
B. vertical asymptote(s), if any
C. oblique asymptote(s), if any

f(x)=x^2-x-2/2x^2-x-21

  • college algebra -

    y = (x-2)(x+1)/((x+3)(2x-7) )

    a) as x --->∞
    the curve is approximated by
    y = x^2/2x^2 = 1/2
    approaching from below y=1/2 for positive x's
    and approaching from above y = 1/2 for negative large x's
    Anyway, y = 1/2 is the horizontal asymtote

    b) at vertical asymptotes, the denominator is zero, so
    x = -3 and x = 7/2 are vertical asymptotes

    c) since the numerator and denominator are of the same degree, there is no oblique asymptote

Answer This Question

First Name
School Subject
Your Answer

Related Questions

More Related Questions

Post a New Question