Answer
Answer may vary.
$R(x)=\frac{-x}{(x+1)(x-1)}$
Work Step by Step
Answer may vary.
Step 1. Identify the vertical asymptotes $x=\pm1$, thus the denominator contains $(x+1)(x-1)$
Step 2. Identify the horizontal asymptote $y=0$, thus the numerator is of a lower power than the denominator.
Step 3. Identify the intercepts $(0,0)$
Step 4. Propose a function $R(x)=\frac{-x}{(x+1)(x-1)}$ which give the same signs as the graph in different intervals.
