How do you find the Vertical, Horizontal, and Oblique Asymptote given #(-7x + 5) / (x^2 + 8x -20)#?
Oblique (slant) asymptote: None.
To find the vertical asymptote, find all values of
The values of
To find the horizontal asymptote you look at the largest order of
The numerator is first order and the denominator is second order. Since the order of the denominator is greater than the order of the numerator and the coefficient in front of
The oblique (slant) asymptote is only existent if the numerator is divisible by the denominator. Since the order of the denominator is larger than the numerator, the numerator is not divisible and there is no slant asymptote.