Construct a Function from Derivative Characteristics: Calculus Formative Assessm

① This example demonstrates how to automatically generate a function whose graph satisfies user-specified characteristics of its first and second derivatives (e.g., increasing/decreasing intervals, concavity), serving as a formative assessment quiz question. ② Core mathematical concepts include derivatives, second derivatives, monotonicity, concavity, polynomial fitting, random generation, and normal distribution (for generating random features). ③ Construction highlights: uses GeoGebra commands such as FitPoly to fit polynomial functions, Min and Max to define intervals, Sequence, RandomElement, and Random to generate random characteristics, mean and FractionText for displaying fractions, CountIf, Sort, and Element for answer checking and feedback, plus a button (button1) to trigger new questions and multiple text objects (text1, etc.) to display prompts and feedback. ④ Suitable for high school or college calculus courses focusing on applications of derivatives; teachers can quickly generate varied practice problems, and students receive immediate feedback.