How do you find vertical, horizontal and oblique asymptotes for # (x^2-9x+20)/(2x^2-8x)#?
1 Answer
Vertical
We see
Horizontal
the horizontal asymptote is
Explanation:
Vertical Asymptote:
A rational function h=f(x)/g(x) have a vertical asymptotes
Horizontal Asymptote: The location of the horizontal asymptote is determined by looking at the degrees of the numerator
1) If
2) If
3) If
Oblique Asymptote: Still looking at the degrees
4) if
Now letting
Vertical:
We see
Horizontal:
definition we have
Thus the Horizontal is asymptote is