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

May 18, 2017

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

Explanation:

$y = | 2 x - 4 |$

Critical point is $2 x - 4 = 0 \therefore x = 2$

So $y = | 2 x - 4 |$ 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]