Answer
Answer may vary.
$R(x)=\frac{x^2}{(x+2)(x-2)}$
Work Step by Step
Answer may vary.
Step 1. Identify the vertical asymptotes $x=\pm2$, thus the denominator contains $(x+2)(x-2)$
Step 2. Identify the horizontal asymptote $y=1$, thus the numerator is at the same power as the denominator.
Step 3. Identify the intercepts $(0,0)$
Step 4. Propose a function $R(x)=\frac{x^2}{(x+2)(x-2)}$