Answer
x-intercept=$0,1/2$
y-intercept=$0$
vertical asymptote $x=-1$
no horizontal,
no slant asymptotes.
End behavior $y=x^2-3x+3$
Work Step by Step
x-intercept=$0,1/2$
y-intercept=$0$
vertical asymptote $x=-1$
no horizontal,
no slant asymptotes.
Use synthetic division $r(x)=x^2-3x+3+\frac{-3}{x+1}$
The polynomial that has the same end behavior as the rational function
can be found as $y=x^2-3x+3$
