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(A) The shown graph (which has vertical asymptotes at $x = \pm 1$, a horizontal asymptote at $y = 2$, and is positive on $(-\infty, -1) \cup (1, \infty)$)

(B) The correct graph of $f(x) = \frac{2x}{x^2-1}$ (which has vertical asymptotes at $x = \pm 1$, a horizontal asymptote at $y = 0$, passes through $(0,0)$, is negative on $(-\infty, -1) \cup (0,1)$, and is positive on $(-1,0) \cup (1,\infty)$)

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Identify asymptotes and intercepts

Analyze interval signs

Match with the given graph

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