Piecewise Function

Objective: to recognize the graph of a piecewise-defined function; to construct the graph of a piecewise-defined function; to manipulate the graphs of a family of piecewise-defined functions.

Writing a Piecewise Function Notation

Things to consider: 

How many pieces? 

What are the constraints on each piece? 

Will we need greater/less than/ equal to symbols?

What are the equations we need?

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Writing a Piecewise Function Notation

​Write a piecewise function for the graph to the right.

Solution 

• Two pieces

• Blue: horizontal line at 6, ends at x=0 (open dot)

• Gold: line with negative slope, inputs from 0 to 9 (one open, one closed dot)