Question 152177
f(x) = y = (2x) / (x + 4)
Intercepts:
x intercept (when y=0):
2x/(x+4)=0
2x=0 multiply each side by (x+4)
x=0
.
y intercept (when x=0)
0/4=y
y=0
.
vertical asymptote (when the denominator=0): 
x=-4
.
horizontal asymptote:
When the numerator and denominator have the same degree we use this formula:    a[m]/b[n]=2/1=2
.
Check it out on the graph below.
.
Ed
.
{{{graph(500,500,-10,10,-10,10,2x/(x+4))}}}