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

1 Answer
Binayaka C.
May 18, 2017

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

Explanation:

#y=|2x -4| #

Critical point is #2x-4=0 :. x =2#

So #y=|2x -4| # can be written as a piecewise function as

#y = |2x -4| = { (2x-4) if x >=2 #,

#y = |2x -4| = { -(2x-4) if x <2 #, graph{|2x-4| [-10, 10, -5, 5]} [Ans]

Related questions
See all questions in Absolute Value Equations
Impact of this question
5541 views around the world
You can reuse this answer
Creative Commons License