To interpret the graph and determine the limit $\lim_{x \to -5^-} f(x)$, we observe the behavior of the function as $x$ approaches $-5$ from the left (i.e., $x \to -5^-$).

From the graph:

• As $x$ approaches $-5$ from the left, the function seems to decrease steeply towards negative infinity.

Thus, the limit of the function as $x$ approaches $-5$ from the left is:

$\lim_{x \to -5^-} f(x) = -\infty$

Would you like more details on this process or additional insights?

Here are five related questions:

1. What is $\lim_{x \to -5^+} f(x)$?
2. What is the behavior of the function as $x$ approaches $0$?
3. How does the function behave as $x \to \infty$?
4. Are there any vertical asymptotes in the graph?
5. How can we describe the local behavior of the function around $x = 5$?

Tip: When analyzing limits from a graph, always focus on the direction from which $x$ approaches the point of interest.