Expressing A Piece Wise Function

**Manni** · October 15th 2011, 01:52 PM

I'm stuck on a problem. I'm given the ramp function defined as ramp(x) = x if x is greater or = 0 or 0 if x is less than 0. I need to express this function in one line using the absolute value function. How would I do this? Please guide me through the logic.

Help is appreciated!

**Plato** · October 15th 2011, 02:00 PM

Originally Posted by Manni

I'm stuck on a problem. I'm given the ramp function defined as ramp(x) = x if x is greater or = 0 or 0 if x is less than 0. I need to express this function in one line using the absolute value function. How would I do this? Please guide me through the logic.

If the function is $\text{ramp}(x) = \left\{ \begin{gathered} x,\;x \geqslant 0 \hfill \\ 0,\;x < 0 \hfill \\ \end{gathered} \right$
then $\text{ramp}(x)=\frac{x+|x|}{2}$ .

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