Let's asume that

f is defined on R, because there isn't any x so

So x raises from -infinity to 0 and deacreases from 0 to +infinity

Which means that 0 is an local maxima

So f has y=-1 horizontal asymptote.

There isn't any real number a, so

Which means f doesn't have vertical asymptote.

f doesen't have oblical asymptote neither.