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How do you write #2 |x-2| +5# as a piecewise function?

1 Answer

Aug 17, 2017

#f(x) = -2x+9 | x <2 #
#f(x) = 2x+1 | x >=2 #

Explanation:

#f(x) = 2 abs ( x-2) +5 # , Critical point is #x-2=0 or x =2#

Written as piecewise function,

#f(x) = -2(x-2) +5 | x <2 #
#f(x) = 2(x-2) +5 | x >=2 #

OR

#f(x) = -2x+9 | x <2 #
#f(x) = 2x+1 | x >=2 # [Ans]

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