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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¢ Know how to evaluate and graph piecewise-defined functions. â¢ Know how to evaluate and graph the greatest integer (or floor) function. â¢ Preview limits and continuity from calculus. PART A: DISCUSSION. â¢ A piecewise-defined function applies different rules, usually as formulas, to. disjoint (non-overlapping) subsets of its domain (subdomains).