This article provides an analysis and reflection on a comprehensive function problem from the college entrance examination mathematics section. The problem involves the combination of logarithmic and polynomial functions, testing concepts such as derivatives, symmetry, and function value limits. Through an in-depth analysis of the problem, we can gain a better understanding of function properties and problem-solving approaches, while also exploring the characteristics of math questions and effective solving strategies. This article aims to offer detailed problem-solving methods for students and serve as a teaching reference for educators. Keywords: Function, Derivative, Symmetry DOI: 10.7176/JEP/16-5-03 Publication date: May 30th 2025
Xu et al. (Wed,) studied this question.