Lesson 5: 2.5 Graphing Special Functions

What is the difference between a continuous function and a piecewise function?
Are all step functions piecewise functions? Explain.
Explain the difference in writing the domain and range for a piecewise function compared to a continuous function.
Can a step function have two date points the same in the range?

piecewise defined function
piecewise linear functions
step function
greatest integer function
absolute value functions

A.CED.2 Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.
F.IF.4 For a function that models a relationship between two quantities, interpret key features of expressions, graphs and tables in terms of the quantities, and sketch graphs showing key features given a description of the relationship.
F.IF.7b Graph square root, cube root, and piecewise-defined functions, including step functions and absolute value functions.

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Piecewise defined functions are also called multipart functions or split domain functions

The amount of federal income tax one is required to pay is an example of a piecewise defined function

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Have students verbally explain to a partner how to graph one of the piecewise defined functions they learned about in this lesson.

Use McGraw Hill Resources

Use McGraw Hill Resources