Answer
(a) $y=x+1$
(b) $x=0, 1$
(c) from above.
Work Step by Step
(a) Based on the division result, the oblique asymptote is $y=x+1$
(b) Let $f(x)=x+1$, we have $x^2-x=0$ which gives $x=0, 1$
(c) As $x\to\infty$, the remainder part $\frac{x^2-x}{x^4+1}\gt0$ indicating the function will approach its asymptote from above.
