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y =|x^2 - 4x + 3|

Source: Spanish Mathematical Olympiad 1976 P8

December 23, 2022
functionalgebraanalysis

Problem Statement

Given the function y=x24x+3.y =|x^2 - 4x + 3|. Study its continuity and differentiability at the point of abscissa 11. Its graph determines with the XX axis a closed figure. Determine the area of said figure.