1. 2.6 Day 1 Notes Special Functions
Agenda
Warm Up
Go Over Quiz
2.6 Day 1 Notes

2. Piecewise function: Piecewise Functions Example: Notes:
Notes:
Evaluating a piecewise:

3. Domain

4. Evaluating a piecewise function
Use the domain to determine which function to plug the value into
Example 1: Evaluate.
f(0)
f(3)
f(6)

5. Example 1: b) Evaluate the function for the given value of x.
a) h (-9)
b) h (5)
c) h (6)

6. Graphing a Piecewise Function
1. Make a table of 3 values for each function. The x values in the table should follow from the domain 2. Determine if the initial point of each piece of the graph should be an open circle or a closed circle 3. Plot the points from your tables and connect to make rays

7. Brain Break!
Take your left hand and have your fingers in, and your thumb up.
Then take your right hand and put your thumb in and all your fingers in except your pinkie.
So in other words, your thumb up and pinkie out.
Now switch the roles of your hands.

8. Example 2: Graph the piecewise function and then identify domain and range.

9. Example 3: Graph the piecewise function and then identify domain and range.

10. Example 4: Write the piecewise-defined function shown in the graph.

11. Example 5: Write the piecewise-defined function shown in the graph.

12. Step Functions:
a graph consisting of horizontal line segments resembling steps
Graphing Step Functions:
1. Pay attention to whether circles should be open or closed
2. Make horizontal segments at the appropriate y value for the length of the domain for each function.

13. Example 6: Graph the function.

14. Example 7
Shipping costs $6 on purchases up to $50, $8 on purchases over $50 up to $100, and $10 on purchases over $100 up to $200. Write a step function for these charges.