To solve for $g(2)$ based on the graph provided in the image:

1. Locate $x = 2$ on the horizontal axis.
2. Identify the corresponding $y$-value where the graph intersects at $x = 2$.

From the graph, when $x = 2$, the corresponding $y$-value is $-4$. Therefore, $g(2) = -4$.

Would you like further details on interpreting graphs or how to evaluate functions from graphs?

Here are 5 related questions to expand on this:

1. How do you find values for $g(x)$ for other inputs from the graph?
2. Can you explain how to evaluate $f(x) = x - 6$ for a given input?
3. How would you determine the behavior of a function (increasing or decreasing) from its graph?
4. What does it mean for a function to be "continuous" on its graph?
5. How do you calculate the slope of a function between two points on a graph?

Tip: Always check if the graph is continuous or discrete when evaluating a function, as it may affect how you interpret the function's values at certain points.