I've already provided a graph of the function $f(x) = \frac{x}{4 - x^2}$. You can view the graph above.

If you need any specific details added to the graph or if there's anything else you'd like to explore, please let me know!

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Related Questions:

1. How do vertical asymptotes impact the shape of the graph?
2. What methods can you use to find the x-intercepts of a rational function?
3. How do you find the y-intercept of a function?
4. Can the horizontal asymptote be a non-zero value?
5. How does the graph of an odd function behave with respect to the origin?
6. What role does the denominator play in determining the asymptotes?
7. What happens to the function as $x$ approaches the values of the vertical asymptotes?
8. How can you use limits to analyze the behavior of rational functions at infinity?

Tip: Remember, graphing by hand often involves plotting a few key points and asymptotes first to get an idea of the function's behavior.