I need help Identify the asymptotes of each function.

1. y=5/x
a x=0,y=0
b x=4,y=1
c x=0,y=4
d x=0,y=0
2. f(x)=8/x-4
a x=4,y=0
b x=4,y=4
c x=4,y=0
dx=0,y=-4
3. y=1/x+4
a x=0,y=0
b x=0,y=0
c x=4,y=0
dx=0,y=4

in each of them, the degree of the top is 0 (constant, no variable) and the degree of the bottom is 1, (x¹ + something). as long as the degree of the bottom is bigger than the degree of the top, the horizontal asymptote is the x axis, equation y = 0

the value of x that makes the bottom 0 is your vertical asymptote.
in 1, that's x = 0
in 2, that's x = 4
in 3, that's x = -4

Just graph each of them then determine the line that they are close to but not crossing