To solve this problem, we need to determine the range of the given function.

Step-by-step analysis:

1. The graph shows a curve that only exists in the second and third quadrants of the coordinate plane, meaning it is restricted to negative x-values.
2. The curve moves downward as $x$ decreases and appears to approach some minimum y-value.
3. The y-values (vertical axis) on the graph seem to include values from a certain point downwards. In the second quadrant, the y-values start at 0 (where the curve touches the y-axis) and extend to negative infinity as the curve moves downward.

Conclusion:

• The range of the function represents all the possible y-values.
• Based on the graph, the y-values are less than or equal to 0.

Thus, the correct answer is:

• $y \leq 0$, which corresponds to option 3.

Would you like more details on this, or do you have any questions?

Here are five related questions you might explore:

1. How is the domain of a function determined from its graph?
2. What is the difference between the domain and range of a function?
3. How can you identify symmetry in a graph?
4. What is the relationship between a function's graph and its equation?
5. How does the vertical line test determine whether a curve is a function?

Tip: Always remember that the range is determined by looking at the y-values the graph takes, while the domain is based on the x-values!