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Graphs of functions

Source: 2007 Bulgarian Autumn Math Competition, Problem 9.1

March 17, 2022
algebrafunction graphingfunctiongeometry

Problem Statement

We're given the functions f(x)=∣x−1∣−∣x−2∣f(x)=|x-1|-|x-2| and g(x)=∣x−3∣g(x)=|x-3|. a) Draw the graph of the function f(x)f(x). b) Determine the area of the section enclosed by the functions f(x)f(x) and g(x)g(x).
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