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Graphing Piecewise and Step Functions

Graphing Piecewise and Step Functions 1.3 - Solution

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There are three different rules for three different parts of the domain. Therefore, the function is a piecewise function. Let's graph the first rule! Since the function is equal to when is less than the graph will be the horizontal line extended to the left from The point will be represented by an open point because the inequality is strict.

The second piece is just the point

The third rule can be graphed in the same way as the first rule. This time, the horizontal line will be extended to the right from