The graph you provided shows two distinct linear segments, one starting at $y = 16$ and decreasing as $x \to -\infty$, and another segment that also decreases as $x \to \infty$. Since you are asking for the limit of $f(x)$ as $x \to -\infty$, we can focus on the left side of the graph.

Observations:

• As $x \to -\infty$, the function $f(x)$ (the left-hand line segment) seems to approach a steep downward slope.
• The line passes through $(0, -8)$ and continues downward, meaning the function values become more negative as $x \to -\infty$.

From the appearance of the graph, it is clear that as $x \to -\infty$, $f(x)$ decreases without bound. Therefore:

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

This is because the left-hand line is decreasing indefinitely.

Do you want more details or have any questions?

Here are 5 related questions for further understanding:

1. What is the slope of each linear segment in the graph?
2. How does the behavior of $f(x)$ change as $x \to +\infty$?
3. What are the intercepts of the function on the x-axis and y-axis?
4. How can we express each line segment with a specific equation?
5. What are the potential domains and ranges of the function $f(x)$?

Tip: The limit as $x \to -\infty$ indicates the long-term behavior of the function on the far left of the graph.