The image shows a graph labeled $g(x)$, and on the right, there are limits that ask for the behavior of $g(x)$ as $x \to \infty$ and $x \to -\infty$. Let me analyze and explain the graph and the limits more thoroughly.

• The graph appears to have a horizontal asymptote, likely corresponding to the values the function $g(x)$ approaches as $x$ moves towards infinity or negative infinity.
• There are two questions asking to determine the limits:
  1. $\lim_{x \to \infty} g(x)$
  2. $\lim_{x \to -\infty} g(x)$

Let me explain how to interpret the graph and find these values.

Solution Process:

1. For $\lim_{x \to \infty} g(x)$: Observe the behavior of the graph as $x$ moves to the far right (towards $+\infty$). The graph seems to approach a constant horizontal value.
2. For $\lim_{x \to -\infty} g(x)$: Look at the behavior as $x$ moves to the far left (towards $-\infty$). Similarly, check if the graph approaches a specific value.

Would you like me to sketch out a more detailed solution based on these observations?