Sketch a graph of the given rational function. Identify any intercepts and any asymptotes.

$\displaystyle f(x)=2x+6/x-4$

Vertical Asymptote:

x-4=0

4=x

Horizontal Asymptote:

y=2

x-intercept:

2x+6=0

3=x

(3,0)

y-intercept:

f(0)=2(0)+6/0-4

=3/-2

(0,3/-2)

I don't know if this is right. Now I just don't know where to plot the points. I need help with this. Thank you in advance.