Final answer:
A quadratic function like y = x² satisfies the condition of having a positive value with a decreasing positive slope at x = 3.
Step-by-step explanation:
The question asks which function f(x) could correspond to the scenario where at x = 3, the function has a positive value with a positive slope that is decreasing in magnitude with increasing x. Option (a), y = 13x, is a linear function with a constant positive slope, which does not satisfy the condition of a decreasing slope as x increases.
Option (b), y = x², is a quadratic function with a slope that starts positive and decreases as x increases, meeting the given conditions at x = 3 and therefore could be the correct function that corresponds to f(x).