SOLUTION: I don't think I put this in the right section, but I couldn't find the one I was looking for. Write the following as a piecewise function: f(x) = |x+3| - |x-1| I know how

Algebra ->  Rational-functions -> SOLUTION: I don't think I put this in the right section, but I couldn't find the one I was looking for. Write the following as a piecewise function: f(x) = |x+3| - |x-1| I know how       Log On


   



Question 937176: I don't think I put this in the right section, but I couldn't find the one I was looking for.
Write the following as a piecewise function:
f(x) = |x+3| - |x-1|
I know how to work out similar functions (like this: f(x)= |x^2 -5x+6|) but this one is set out differently and I'm a bit stuck.
Any help would be appreciated!
Thank you!

Answer by oscargut(2103) About Me  (Show Source):
You can put this solution on YOUR website!
f(x) = |x+3| - |x-1|
= -x-3 +x-1 for x < -3
= x+3 +x-1 for -3 < x < 1
= x+3-x+1 for x > 1
If you need more help or details you can contact me at:
mthman@gmail.com
Thanks