1. Piecewise & Greatest Integer Functions
Objective: graph piecewise functions & solve word problems involving “step” functions.
How are piecewise graphs different than other graphs?
What situations require a “step” function?

2. > and < OPEN CIRCLE
Piecewise Functions
Two or more functions that are defined for a specific DOMAIN (x).
**Remember**
> and < OPEN CIRCLE
≥ and ≤ CLOSED CIRCLE

3. Ex 1) X Y X Y

5. Piecewise in the Calculator
Use the divide sign to separate the equation & its domain
Less than/greater than symbols are under:
2nd, MATH

6. X Y X Y

8. 1. Find g(5) Find g(-3)
3. Find g(1) Find g(-1)

9. Step Functions
Functions that “jump” to values without including the values in between

10. Ex. x
f(x)
0.5 1
1.2 2
2.5

11. A cell phone plan charges you $5
A cell phone plan charges you $5.00 if you talk under 10 minutes in a month. If you talk 10 minutes or more, but under 20 minutes in a given month they charge an additional $ If you talk 20 minutes or more they charge you and additional $50.00.
Create a table of minutes vs. cost
Graph the function
Determine each person bill based on their minutes
Rena: 15 minutes Jenn: 20 minutes

12. (a) Write a piecewise function that describes what your
Your favorite dog groomer charges according to your dog’s weight.  If your dog is 15 pounds and under, the groomer charges $35.  If your dog is between 15 and 40 pounds, she charges $40.  If your dog is over 40 pounds, she charges $40, plus an additional $2 for each pound.
(a)   Write a piecewise function that describes what your
dog groomer charges.
(b)   Graph the function.
(c)   What would the groomer charge if your cute dog
weighs 60 pounds?