Final answer:
The function f(x) = -log₃x + 6 represents an inverse relationship.
Step-by-step explanation:
The function f(x) = -log₃x + 6 represents an inverse relationship. Inverse functions are represented by graphs that appear as reflections of one another across the line y = x. The graph of f(x) = -log₃x + 6 is a curve that approaches the x-axis but never touches it. The negative sign in front of the logarithm indicates that the graph is below the x-axis.