Find the vertical, horizontal, and oblique asymptotes, if any, for the following rational function. R(x)= (x^3-8)/ x^2-3x+2
Find the horizontal asymptotes. Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice.
To find the horizontal asymptotes of the rational function R(x) = (x^3 - 8) / (x^2 - 3x + 2), we need to compare the degrees of the numerator and denominator.
The degree of the numerator is 3 and the degree of the denominator is 2. Since the degree of the numerator is greater than the degree of the denominator, there is no horizontal asymptote.
Therefore, there are no horizontal asymptotes for the given rational function.