Rewrite functions without Absolute Value

[rmunger]

Hi, I'm working a final review sheet with 255 problems. I may just be too tired to think, but on this set of problems, I'm not sure what they want. The problems are prefaced with "Rewrite the following functions without absolute values." The first problem is: y=|x|
Obviously this means that if x<0 then y=-x and if x>0, then y=x. Is that what it means to rewrite it? Am I just trying to make something too hard out of it? The other problems are similar...
y=|x-1|
y=|x+3|+1
y=(|x|-2)/(x-2)
would I write them the same way? y=-x-1, if x-1<0 and y=x-1, if x-1>0

Thank you!!!

 

[pka]

Be careful that you use the greater than or equal to correctly!

\(\displaystyle \L
y = |x + 3| + 1\quad \Rightarrow \quad y = \left\{ \begin{array}{l}
- x - 2,\quad x < - 3 \\
x + 4,\quad - 3 \le x \\
\end{array} \right.\)