Answer
Horizontal Asymptote: $x=2$
Vertical Asymptote: $x=3$
x-intercept: $(3,0)$
y-intercept: $(0,3)$
Work Step by Step
For the asymptotes, you can see the dashed blue lines on the graph. The functions will never cross those lines.
And for the intercepts, your x-intercept is where y equals 0.
And vice versa for your y-intercept.