Question

find the vertical, horizontal, and oblique asymptotes, if any, of each rational function.

Answer 1

Step 1:

The rational function is .

 

In lowest terms 

Step 2:

Find the vertical asymptote by solving denominator to zero.

Here the degree of the numerator is greater than denominator,so the function does not have horizontal asymptote.

It will have only oblique asymptote.

Here quotient is oblique asymptote.

Solution:

Vertical asymptote and oblique asymptote..