Answer: Please note that without any specific graphs provided, it is not possible to identify the exact representation of the function. However, you can use this information to compare the given graphs and determine which one matches the described characteristics.
Step-by-step explanation:To identify the graph that represents the piecewise-defined function y = 5 if x ≤ -2, 0 if x = 3, -1 if x > 3, we need to analyze the given conditions for different values of x.
First, for values of x less than or equal to -2, the function value is y = 5. This means that the graph will have a horizontal line at y = 5 for x ≤ -2.
Next, for x = 3, the function value is y = 0. This means that the graph will have a point at (3, 0).
Lastly, for x greater than 3, the function value is y = -1. This means that the graph will have a horizontal line at y = -1 for x > 3.
Based on this analysis, we can conclude that the graph representing the piecewise-defined function y = 5 if x ≤ -2, 0 if x = 3, -1 if x > 3 will have a horizontal line at y = 5 for x ≤ -2, a point at (3, 0), and a horizontal line at y = -1 for x > 3.
I hope this helps! Let me know if you have any further questions.