Graphing Piecewise Functions
1 DO NOW
Each student must have their own laptop. Model the first number for the students to learn how to use the program in graphing.
Go to www.desmos.com to graph the following equations. Draw a sketch and describe the graph like it’s a cut line, cut circle, cut parabola, cut absolute value, cut exponential, cut radical function.






2 Individual Think
Let the students describe the difference between the two graphs.

Write down your partner’s idea.

3 Launch
Define a piecewise function.
Show one example on how to graph a piecewise function using desmos and how to evaluate function values.
Graphing Piecewise Functions
What is a piecewise function?
Example:
Example 1. Use desmos.com to graph the function.
 Graph the function:
f(x) =
 Find f(5) c) Find f(1) d)Find f(4)
STEPS 









4 Practice
Provide students different piecewise functions to graph.
Graphing Piecewise Functions
Easy: Graph the following using desmos.com and find the function values.
1.


Moderately Difficult:
Graph the following using desmos.com and find the function values.
2.


Challenge Question. (10 points)
 Graph the following using desmos.com. Show me the picture of the graph when done.
2.
5 extension
Let students create their own piecewise function that will produce an art design.
Create your own piecewise function that will produce a creative design like the examples you see from desmos.com