Question

help with rational functions? http://prntscr.com/2u3457

Answer 1

\[
\frac{x^3-1}{x^2-1}=\frac{(x-1
)
\left(x^2+x+1\right)}{(x-1)
(x+1)}=\frac{x^2+x+1}{x+1}
\]

Answer 2

https://www.wolframalpha.com/input/?i=plot+%281+%2B+x+%2B+x^2%29%2F%28x+%2B+1%29

Answer 3

The function is continuous everywhere except at x=-1

Answer 4

x=-1 is a vertical asymptote

Answer 5

sorry i went afk but thanks @eliassaab :D