Write F(x)= lxl-2 as a piecwise function

asked Mar 8, 2020 160k views

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By definition, you have

$|x| = \begin{cases} x \text{ if } x\geq 0\\ -x\text{ if } x<0\end{cases}$

So, in your case, you have

$|x|-2 = \begin{cases} x-2 \text{ if } x\geq 0\\ -x-2 \text{ if } x<0\end{cases}$

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