How do you find the vertical, horizontal and slant asymptotes of: #(8x^2-x+2)/(4x^2-16)#?
No slant asymptotes, as slant asymptotes only occur when the degree on the numerator is greater than the degree on the denominator.
First, factor as much as possible. The numerator cannot be factored. The denominator can be factored into
Vertical asymptotes occur when the denominator is equal to zero. In this case, that is when
Horizontal asymptotes are the value that the function approaches when the x value approaches