To find $g(-3)$, we need to use the graph of the function $g(x)$ provided in the image.

Steps to Solve:

1. Locate $x = -3$ on the x-axis of the graph.
2. Determine the corresponding $y$-value (which is $g(-3)$) on the graph by seeing where the line intersects the vertical line at $x = -3$.

Looking at the graph:

• For $x = -3$, the line $g(x)$ intersects the y-axis at $y = -4$.

Thus, $g(-3) = -4$.

Would you like more details or have any questions? Here are some related questions to consider:

1. What is the slope of the function $g(x)$ in the graph?
2. How can you find the equation of the line represented by $g(x)$?
3. What is the value of $g(2)$ based on the graph?
4. How would you determine $g(x)$ for any other $x$ value using the graph?
5. How does the function $g(x)$ compare with the given function $h(x) = 2x^2 + 5x - 2$?

Tip: When interpreting graphs, always start by identifying key points like intercepts and slopes, which provide insight into the function's behavior.