Question

3.) Describe the possible vertical and horizontal asymptote of the following rational function

Answer 1

1)
To find vertical asymptote, we have to use denominator
x² - 3x - 10 = (x-5)(x+2)
x-5 = 0, x=5
x+2=0, x=-2

Vertical asymptote x=5 and x=-2.

2) Horizontal asymptote = x²/x² = 1