The question asks to determine for which argument (value of $x$) the function's value is $-3$.

From the image of the graph, we can observe the function, where the vertical axis represents $y$ (the function value) and the horizontal axis represents $x$ (the argument). We are interested in finding where $y = -3$.

Looking closely at the graph, it seems that the function reaches the value $-3$ when $x = 3$. At this point on the graph, the curve crosses the line $y = -3$.

Thus, the answer is:

$x = 3$

Would you like any further clarification, or do you have other questions?

Here are 5 related questions to expand your understanding:

1. How would the result change if the function were shifted up or down?
2. Can you find another point where the function takes a negative value?
3. How do we determine if a function is increasing or decreasing from a graph?
4. What is the significance of the slope in a linear section of the graph?
5. How can we tell if a function is continuous or has breaks from its graph?

Tip: When analyzing graphs, always check both axes to understand the function's values and how they change with $x$.