Question

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

Answer 1

`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]