Since I cannot see the graph you mentioned, I can help you analyze it step by step if you provide key details from the graph or upload the image. Specifically, I need the corresponding $y$-values (function values) for the inputs $x = -2$, $x = -1$, $x = 0$, $x = 1$, and $x = 2$.

Here’s how we can approach it:

1. Locate the points on the graph where $x = -2$, $x = -1$, $x = 0$, $x = 1$, and $x = 2$.
2. Read the corresponding $y$-value for each point to find $g(x)$.
3. If the function is undefined for any of these inputs, mark the value as DNE.

Please either describe the graph or upload the image so I can assist you further!

Let me know if you'd like help with any of the following:

1. Understanding how to read a graph.
2. Interpreting $g(x)$ values from graphs.
3. How to deal with discontinuities in graphs.
4. Discussing types of functions that may be represented in the graph.
5. How to distinguish between a continuous and discontinuous function.

Tip: When reading a graph for function values, always check if the graph has breaks or jumps at the specified $x$-values!