8

Part of 1976 Spain Mathematical Olympiad

Problems(1)

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

Source: Spanish Mathematical Olympiad 1976 P8

Given the function

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

Study its continuity and differentiability at the point of abscissa

1

. Its graph determines with the

X

axis a closed figure. Determine the area of said figure.

functionalgebraanalysis