If you are working a problem like this, you should know that parentheses are required....
(1) y-intercept: set x=0 --> 3/4
(2) x-intercepts: where the function value is 0 -- i.e., where the numerator is 0.
so x-intercepts at -3 and -1
(3) horizontal asymptote: none (the degree of the numerator is 1 more than the degree of the denominator; the function has a (linear) oblique asymptote.
(4) vertical asymptote: where the denominator is 0 -- at x=-2.
Perform polynomial division to find the oblique asymptote:
The oblique asymptote is y = (1/2)x+1.
A graph of the function and the oblique asymptote: