Final answer:
To determine which graph could represent the function p(x), it must display the function value approaching y = 3 as x approaches infinity, indicating a horizontal asymptote at y = 3.
Step-by-step explanation:
The student's question pertains to the behavior of a function, specifically as x approaches infinity, and what the function value approaches in that limit.
The information provided indicates that as x approaches infinity, p(x) approaches 3. Without the graphs to visibly compare, we cannot select which graph would represent p(x).
However, we can describe the characteristics of such a graph. It should show that as x increases without bound, the function value comes closer and nearer to the horizontal line y = 3, effectively approaching but not necessarily reaching this value. This behavior is typical of horizontal asymptotes where the function increasingly resembles the line y = 3, but the actual value of the function depends on how x is defined in the function.