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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.
A One Parameter Problem. A common problem in precalculus and calculus is to determine a value of a parameter for which a given piecewise function is continuous. For example, suppose we wish to determine the value of k for which the piecewise function. is continuous at x = 3.he left piece of the function changes as k changes. The left piece of the graph is in red. Click the PLAY button to initiate the movie. The Quicktime movie provides start/stop features so that the instructor can pause during the course of the lesson to discuss what is happening in the animation.