MathDB
Three Functions

Source: 1989 National High School Mathematics League, Exam One, Problem 9

February 25, 2020
functiongeometry

Problem Statement

Functions f0(x)=∣x∣,f1(x)=∣f0(x)−1∣,f2(x)=∣f1(x)−2∣f_0(x)=|x|,f_1(x)=|f_0(x)-1|,f_2(x)=|f_1(x)-2|. Area of the closed part between the figure of f2(x)f_2(x) and xx-axis is________.
Back to ProblemsView on AoPS