Piecewise And Step Functions

Piecewise And Step Functions

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  By: Anne Kaufmann Kate Albertini Katie Fairman
• 2.
  What is aPiecewise Function? A piecewise function is an equation with multiple parts or pieces. It is made up of a series of different equations. Each different equation covers a different set of input values (or numbers on the x-axis) over the domain. A different piece of the domain is paired with each equation. The domain determines if the end points on the line are included or not. If the value is stated as equal to, then the value is represented with a closed circle on the line. If the value in the equation is stated as less than or greater than, but not equal too, then it is represented by an open circle.
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  x-1 if x<-1F(x)= -1 if x=-1 x+1 if x>-1
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  Step Function Astep function is a specific type of piecewise function in which the different pieces of the function resembles steps (or stairs) when graphed. All rules for piecewise functions still apply.
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  Step Example: y=x