How do you identify all asymptotes for #f(x)=(x^2-3x+2)/x#?
Vertical asymptotes occur where the function is undefined, for:
This is undefined for
Vertical asymptote is the line:
Notice that the degree of the numerator is greater than the degree of the denominator. In this case there is an oblique asymptote. This will be a line of the form
So the oblique asymptote is the line:
The graph confirms these findings: