How do you write #y=|2x-4| # as a piecewise function?

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Answer 1 · 2017-02-14T12:22:28

#y=2|x-2|>=0#.

#y =2(x-2), x >=2 and y=-2(x-2), x<=2#. See Socratic graph.

#y=2|x-2|>=0#.

#=2(x-2), x >=2 and#

#--2(x-2), x<=2#.

Graphically, the given equation represents the V-shaped

semi pair of lines

#(y^2--4(x-2)^2)=0#. The half that is off is below the point of

intersection (2, 0).

graph{2|x-2| [-10, 10, -5, 5]}