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A piecewise function is usually defined by more than one formula: a fomula for each interval. Example 1: f( x ) = - x if x <= 2 = x if x > 2 What the above says is that if x is smaller than or equal to 2, the formula for the function is f( x ) = -x and if x is greater than 2, the formula is f( x ) = x.
Definition of Piecewise Function. Piecewise function is a function f(x) defined piecewise, that is f(x) is given by different expressions on various intervals. The graph below shows the piecewise function f(x) = |x| if x â¤ 0. = sinx if x > 0.