Answer
See graph below.
x-intercept=-2
y-intercepts=-4
vertical asymptotes $x=-1,x=2$
no horizontal asymptote
slant asymptote $y=x+1$
Work Step by Step
Graph the function as shown in the figure.
We can identify the following from the graph:
x-intercept=-2
y-intercepts=-4
vertical asymptotes $x=-1,x=2$
no horizontal asymptote
slant asymptote $y=x+1$ (this can also be obtained with the quotient of the rational function)
local extrema can also be identified but not required by the question.
