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

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May 26, 2018

Answer:

The piecewise function is #y={(-2x+12 if x>=4),(2x-4 if x<4):}#

Explanation:

The function is

#y=-2|x-4|+4#

#x-4>=0#, #=>#, #x>=4#

Therefore,

#y=-2|x-4|+4={(-2(x-4)+4 if x>=4),(-2(-(x-4))+4 if x<4):}#

#y={(-2x+12 if x>=4),(2x-4 if x<4):}#

graph{-2|x-4|+4 [-10, 10, -5, 5]}

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