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MathNet 2008-part-01 — 165 problems (EN–VI) Question 76

Math Olympiad Vault · MathNet 2008-part-01 — 165 problems (EN–VI)

Question 76

Consider the functions $f(x) = |x-1| - |x-2|$ and $g(x) = |x-3|$.

a) Draw the graph of the function $f(x)$.

b) Find the area of the figure determined by the graphs of $f(x)$ and $g(x)$.