1. Warm- Up
Get out your homework!
How do you know if something is a function???
f(x) = -2x3 g(t) = 5(t – 7) z(m) = ¼ m
2. z(-16)
3. g(5)
4. f(-3)

2. Bellringer
Create a situation that represents a function and a situation that does not represent a function like numbers 4 and 5 on your homework. List your input and output for the situation.

3. Homework

4. Would this be a function?
Input = student in this class
Output = desk label of the student’s assigned seat
Yes, each input has only 1 output.

5. WITH YOUR GROUP: 1, 2, 3, 4, 5, 9 are functions
Decide whether each of the relationships are functions. EACH PERSON should be able to explain each one, so discuss well!!!
Input = Facebook user, Output = password
Input = student, Output = the student’s hair color
Input = student in our class, Output = planet he/she lives on
Input = state, Output = # of letters in the state’s name
Input = month, Output = # of days in the month
Input = # of days in the month, Output = month
Input = date, Output = temperature outside
Input = password, Output = Facebook user
Input = any integer, Output = double that integer
1, 2, 3, 4, 5, 9 are functions

6. c(x) = 12x Input: # of pizzas Output: Total cost
Write a rule in function notation to model the situation. Describe what the input and output represent.
Herb is buying pizzas. Each pizza costs $12.
c(x) = 12x
Input: # of pizzas
Output: Total cost

7. Output: # of miles walked
Write a rule in function notation to model the situation. Describe what the input and output represent.
Kim walks 4 miles every hour.
m(x) = 4x
Input: # of hours
Output: # of miles walked

8. Write a rule in function notation to model the situation
Write a rule in function notation to model the situation. Describe what the input and output represent.
There are 100 brownies on a tray. 2 brownies are eaten every minute.
b(x) = 100 – 2x
b(x) = 2x
Input: minutes
Output: # of brownies left OR # of brownies eaten

9. Write a rule in function notation to model the situation
Write a rule in function notation to model the situation. Describe what the input and output represent.
Willard has $150 to spend on iTunes. He is downloading songs, each of which cost $1.29.
f(x) = 150 – 1.29x
f(x) = 1.29x
Input: # of songs downloaded
Output: amount of money spent (or amount of money he has left)

10. Independent vs Dependent Variables
The input of a function is the independent variable
The output of a function is the dependent variable
The value of the dependent variable depends on, or is a function of, the value of the independent variable

11. Amanda babysits and charges $5 per hour.
Write a rule in function notation to model the situation. Give the independent and dependent variables:
Amanda babysits and charges $5 per hour.
f(x) = 5x
Independent: # of hours
Dependent: total amount charged

12. An amusement park charges a $5 fee for parking and $30 per person.
Write a rule in function notation to model the situation. Give the independent and dependent variables:
An amusement park charges a $5 fee for parking and $30 per person.
f(x) = 30x + 5
Independent: # of people
Dependent: total amount charged

13. There are 100 brownies on a tray. 2 brownies are eaten every minute.
Write a rule in function notation to model the situation. Give the independent and dependent variables:
There are 100 brownies on a tray. 2 brownies are eaten every minute.
b(x) = 100-2x
b(x) = 2x
Independent: minutes
Dependent: # of brownies left OR # of brownies eaten

14. Write a rule in function notation to model the situation
Write a rule in function notation to model the situation. Give the independent and dependent variables:
Willard has $150 to spend on iTunes. He is downloading songs, each of which cost $1.29.
f(x) = 150 – 1.29x
f(x) = 1.29x
Independent: # of songs downloaded
Dependent: amount of money spent (or amount of money he has left)

15. Quiz on Monday! Is it a function? Function Notation f(x)
Independent and Dependent Variables

16. Function Notation Riddle
Work with your groups to find work out the code using function notation!
We will be using function notation with a graph instead of an equation
READ THE INSTURCTIONS!

17. Homework
Review Sheet!