Let f(x)=2−x∣2−x∣​. (2.2.1 \#29) (a) Express f(x) as a piecewise linear function. (b) Sketch the graph of the function f(x). (c) Find the domain and range of f(x). (d) Find the coordinates of the x - and y-intercepts (if any) of the graph of f(x). (e) List the intervals where the function is increasing, decreasing or constant. (f) Find the local maxima and minima of f(x), if they exist. (g) Find the absolute maxima and minima of f(x), if they exist.

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