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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.
â¢. With the piecewise function it is possible to express piecewise-continuous functions. The semantics are as in a case statement: if cond_1 is true then f_1, else if cond_2 is true then f_2, and so on. f_otherwise gives a default case which corresponds to all conditions being false.The default for f_otherwise is 0.ith the piecewise function it is possible to express piecewise-continuous functions. The semantics are as in a case statement: if cond_1 is true then f_1, else if cond_2 is true then f_2, and so on. f_otherwise gives a default case which corresponds to all conditions being false. The default for f_otherwise is 0.