To determine which inequality best describes the range of the function shown in the graph, we need to analyze the vertical span (i.e., the y-values) that the graph covers.

• The line on the graph goes from the top left and slopes downward to the bottom right.
• The highest point on the graph occurs at $y = 3$, and the line starts from there.
• The lowest point is $y = -3$, where the line continues downward.

Thus, the function's y-values span from $y = 3$ at the top to $y = -3$ at the bottom.

Looking at the given answer choices:

• Option A: $y \leq 3$ correctly describes the range because the function's y-values include everything less than or equal to 3.

The correct answer is A: $y \leq 3$.

Would you like more details or have any questions?

Here are 5 related questions for further exploration:

1. How is the range of a function different from its domain?
2. Can a range ever include only a single value? Under what conditions?
3. How do you determine the domain of a function given its graph?
4. What is the effect of increasing or decreasing the slope on the range of a function?
5. How would the range change if the graph were shifted upwards?

Tip: The range focuses on the y-values a function can take, while the domain refers to the x-values. Always look at the vertical extent of a graph to identify the range.