Piecewise Functions.

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Presentation transcript:

Piecewise Functions

What You Will Learn Evaluate piecewise functions. Graph and write piecewise functions. Graph and write step functions. Identify the domain and range of piecewise functions. Write absolute value functions.

Domains and Ranges The domains and ranges of many real-valued functions of a real variable are intervals or combinations of intervals. The intervals may be open, closed, or half-open and finite or infinite.

Intervals The endpoints of an interval make up the interval’s boundary and are called boundary points. The remaining points make up the interval’s interior and are called interior points. Closed intervals contain their boundary points. Open intervals contain no boundary points. Every point of an open interval is an interior point of the interval.

Intervals (Take Note)

Intervals (Take Note)

Intervals (Take Note)

Intervals (Take Note)

**(Take Note)

Evaluating a Piecewise Function (leave Space) Evaluate the function f above when (a) x = 0 and (b) x = 4.

You Try:

Graphing and Writing Piecewise Functions

You Try

Writing a Piecewise Function for the graph.

You Try

write a piecewise function for the graph.

write a piecewise function for the graph.