The graph you have provided appears to have a vertical asymptote near $x = -5$, and it seems you are asking to find the behavior of the function as $x$ approaches $-5$ from the left.

Looking at the graph near $x = -5$, the function exhibits steep behavior, likely heading towards infinity or negative infinity. Specifically, from the left-hand side, the function sharply decreases before approaching $x = -5$. This suggests that as $x$ approaches $-5$ from the left ($x \to -5^-$), the value of the function tends to negative infinity ($f(x) \to -\infty$).

Thus, based on the graph, as $x \to -5^-$: $\lim_{x \to -5^-} f(x) = -\infty.$

Let me know if you'd like further clarifications or details!

Related Questions:

1. What does the graph do as $x \to -5^+$ (approaching from the right)?
2. What kind of asymptote occurs at $x = -5$? Is it vertical or something else?
3. How does the behavior of the function change near other interesting points like $x = 0$ or $x = 1$?
4. Can this graph represent a specific rational function? How would you identify it?
5. What does the behavior near $x = -10$ tell you about the general form of the function?

Tip:

When analyzing graphs, always check for asymptotic behavior (vertical or horizontal) to understand the function's limits at specific points.