Question: User: graph it
1. **State the problem:** We want to graph the function $$f(x) = \frac{3}{x^2 - 1}$$.
2. **Recall the function behavior:** The function has vertical asymptotes where the denominator is zero, i.e., at $$x = 1$$ and $$x = -1$$.
3. **Identify horizontal asymptote:** As $$x \to \pm \infty$$, $$f(x) \to 0$$, so the horizontal asymptote is $$y = 0$$.
4. **Plot key points:**
- For $$x = 0$$, $$f(0) = \frac{3}{0 - 1} = -3$$.
- For $$x = 2$$, $$f(2) = \frac{3}{4 - 1} = 1$$.
- For $$x = -2$$, $$f(-2) = \frac{3}{4 - 1} = 1$$.
5. **Sketch the graph:**
- The graph approaches vertical asymptotes at $$x = \pm 1$$.
- The graph approaches horizontal asymptote $$y = 0$$ as $$x$$ goes to infinity or negative infinity.
- The function is negative between $$-1$$ and $$1$$, positive outside these intervals.
This graph shows the behavior of $$f(x)$$ with vertical asymptotes at $$x = \pm 1$$ and horizontal asymptote at $$y = 0$$.