SOLUTION: Let f(x) = 6x - |3x + 8|. Write f(x) as a piecewise function.

Algebra ->  Functions -> SOLUTION: Let f(x) = 6x - |3x + 8|. Write f(x) as a piecewise function.      Log On


   

Question 929075: Let f(x) = 6x - |3x + 8|.
Write f(x) as a piecewise function.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
When 3x%2B8%3E=0, then abs%283x%2B8%29=3x%2B8 and f%28x%29=6x-%283x%2B8%29=3x-8
When 3x%2B8%3C0, then abs%283x%2B8%29=-3x-8 and f%28x%29=6x-%28-3x-8%29=9x%2B8
.
.
.
3x%2B8=0
3x=8
x=-8%2F3
.
.
.
x%3E=-8%2F3, f%28x%29=3x-8
x%3C-8%2F3,f%28x%29=9x%2B8
.
.
.
graph%28300%2C300%2C-10%2C10%2C-50%2C10%2C6x-abs%283x%2B8%29%29