Here is the graph of the function $y = \frac{-5x - 20}{x^2 - 16}$.

Summary of Features:

1. Vertical Asymptotes: $x = -4$ and $x = 4$ (shown as red dashed lines).
2. Horizontal Asymptote: $y = 0$ (green dashed line).
3. X-Intercept: $(-4, 0)$ (black point).
4. Y-Intercept: $\left( 0, \frac{5}{4} \right)$ (purple point).
5. No Holes in the graph.

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Here are 5 related questions for deeper exploration:

1. How do you determine oblique asymptotes in rational functions?
2. How does factoring help in identifying holes in a graph?
3. What happens when the degree of the numerator is greater than the denominator?
4. Can you identify the behavior of the function as $x \to \infty$?
5. How do vertical asymptotes affect the domain of the function?

Tip: When finding vertical asymptotes, always check the factored form of both numerator and denominator for any common factors that could indicate a hole instead of an asymptote.