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Mr.Wizard
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Mathematica: Extract the piece that contains x=0 from within a piecewise function

In mathematica, I have a piecewise function similar to:

Piecewise[{ {x^2 + 2*x - 4, 0 <= x <= 1/4},
            {0, true}                    }]

I don't know how many pieces there will be, or what the internal ordering will look like, but I know that exactly one of the pieces will have x=0 as its left endpoint. How do I extract that piece in its general form (x^2 + 2*x - 4) without knowing the upper end of its domain (1/4)?