Final answer:
The question requires identifying a potential rational root of a polynomial function at point p. Without the function or polynomial coefficients, we cannot definitively select a rational root, but conceptual understanding of fractions can guide potential choices.
Step-by-step explanation:
The question asks about finding a potential rational root of a function at a point p. To determine this, one could use the Rational Root Theorem. However, without the actual polynomial function provided, we cannot directly apply the theorem. Instead, we need to rely on the given answer choices to determine which could be a potential rational root. It's important to understand fractions and their equivalences when trying to conceptualize potential roots. Assuming that the coefficients of the polynomial are integers, the rational roots can be determined by the factors of the constant term and the leading coefficient.
However, since the function and the polynomial coefficients are absent in the given question, we cannot provide a precise answer. Instead, let's work with what we can grasp conceptually: comparing the four fractions. Remember that a rational root will be a fraction where the numerator is a factor of the constant term and the denominator is a factor of the leading coefficient of the polynomial. Knowing this, examine the listed fractions to consider which could be plausible based on their simplicity and form:
- three-fifths (3/5)
- one-fifth (1/5)
- five-thirds (5/3)
- one-third (1/3)
Without the actual polynomial, a definitive answer can't be given, but awareness of fractions and their relations, as exemplified in the question's reference to splitting pies, can offer insights into recognizing potential rational roots.