The graph in the image shows the function $g(x)$, and the goal is to determine the following limits based on the graph.

1. $\lim_{{x \to -2}} g(x)$

From the graph, you can see the behavior of the function as $x$ approaches $-2$. It appears that the function approaches a specific value from both sides of $-2$, so the limit can be determined by observing the value that $g(x)$ approaches as $x$ gets closer to $-2$.

2. $\lim_{{x \to 2^-}} g(x)$ (from the left)

This limit refers to the value that $g(x)$ approaches as $x$ approaches 2 from the left. By looking at the graph, check the value of the function as it nears $x = 2$ from the left side (i.e., from values smaller than 2).

3. $\lim_{{x \to 2^+}} g(x)$ (from the right)

This limit refers to the value that $g(x)$ approaches as $x$ approaches 2 from the right. Look at the graph for the behavior of the function as it approaches 2 from values greater than 2.

4. $\lim_{{x \to 0}} g(x)$

For this limit, examine the behavior of $g(x)$ as $x$ approaches 0. The graph will show the trend as $x$ gets close to zero from both sides.

5. $g(2)$

This is the value of the function at $x = 2$. You can find this by observing the graph and noting the value of $g(x)$ exactly at $x = 2$, if it is defined at that point.

Would you like more detailed explanations or clarifications for each of these limits?