Question

How do you find the vertical, horizontal and slant asymptotes of: `f(x)=(x^3 - 4x^2 + 5x + 5)/(x-1)`?

Answer 1

vertical is x= 1
y= `x^2 -3x +2`

Explanation:

find vertical asymptote by finding the zero of the denominator,
which is 1. then to check if it isn't a hole, substitute in the numerator which equals to 7. then it isn't a whole.

there is either an oblique or a horizontal asymptote or an oblique asymptote. since the degree of N is less than D, then there's an oblique asymptote. to find it use long or synthetic division