Chapter 3 - Polynomial and Rational Functions - Chapter 3 Test Prep - Review Exercises - Page 401: 82

(a) See graph. (b) $f(x)=\frac{x}{(x+1)(x-1)}$

(a) See graph. (b) With $x=-1$ and $x=1$ as vertical asymptotes, $y=0$ as horizontal asymptote, and other conditions, we can write a possible rational function as $f(x)=\frac{x}{(x+1)(x-1)}$