Answer
See graph,
vertical asymptotes, $x=-3/2$
x-intercepts, $0,5/2$
y-intercepts $0$
local minimum $(0.95,-0.6)$, ocal maximum $(-3.95,-10.4)$
end behavior $y=x-4$
Work Step by Step
See graph,
vertical asymptotes, $x=-3/2$
x-intercepts, $0,5/2$
y-intercepts $0$
local extrema, minimum $(0.95,-0.6)$, maximum $(-3.95,-10.4)$
Use long division we find $y=x-4$ has the same end behavior as the rational function,
as shown in the graph for both functions.