Match the graphs shown above with the functions listed below. Enter "r" for red, "g" for green, and "y" for yellow.

: $f(x) = \frac{x}{x-1}.$
: $f(x) = \frac{x^2}{5(x+1)}.$
: $f(x) = \frac{x}{x^2+1}.$

Hint: Look for vertical, horizontal, and slanted asymptotes.