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Math Help - Expressing A Piece Wise Function

  1. #1
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    Expressing A Piece Wise Function

    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!
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  2. #2
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    Re: Expressing A Piece Wise Function

    Quote Originally Posted by Manni View Post
    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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