Answer
$f(x)=\frac{-(x)(x-2)}{(x-1)^2}$
Work Step by Step
Step 1. From the given graph, we can identify: V.A. $x=1$, H.A. $y=-1$, $f(0)=f(2)=0$
Step 2. Thus, a possible rational function can be written as $f(x)=\frac{-(x)(x-2)}{(x-1)^2}$
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