A function defines a relationship between input and output values where each input is mapped to exactly one output. Function notation uses the format f(x) = expression to show the rule for determining the output value from the input. Functions can be used to model real-world relationships where the input is an independent variable and the output depends on the value of the input.

1. Function
Rules
By: Christine Berg
Edited By: V T Hamilton

2. Function
The relationship
between the input
and output values

3. Function
Each input value has
EXACTLY one
output value

4. Function
Function Notation:
f(n) = n + 5
Output Input

5. Function
Function Notation:
f(n) = n + 5
Rule for Function

6. Function
Example:
You are driving a car
50 miles per hour
(mph)

7. Function
Example:
D=rt
d = 50t
d=distance
R= rate t=time

8. Function
Set up a table using the previous
function rule: d = 50 t
Time 1 2 3 4 5
(Input)
Distance
(Output)

9. Function
Find the Rule ~ Remember to define
the variable. Look at next slide to see if you
are correct
Hours Worked Salary
1 $6.50
2 $13.00
3 $19.50
4 $26.00
5 $32.50

10. Answer
Define the variable
s = salary
h = hours
Function Rule
s = 6.50 h

11. Function
Find the Rule ~ then look at next
slide to see if you are correct
Weeks Plant Height
1 3
2 5
3 7
4 9
5 11

12. Answer
Define the variable
h = height
w = number of weeks
Function Rule
h=2w+1

13. Describe a function
in your own words.