The document defines a function as a relationship that pairs each member of one set with exactly one member of another set. It gives the example of the relationship between weeks and days, where 1 week equals 7 days, 2 weeks equals 14 days, and so on. It shows how to write this relationship as an algebraic expression, w=weeks and 7w=days. It then demonstrates creating a function table by inputting values for weeks and recording the corresponding output values for days.

2. What is a function?
A function is a
relationship in which each
member of one set is
paired with exactly one
member of another set.

3. Let’s look at an
example of a
function.
1 week = 7 days
2 weeks = 14 days
So forth….
The
relationship
between days
and weeks.

4. Step 1: Using our data on
days and weeks, we can write
an algebraic expression to
represent this info.
If w=weeks
then our
expression is
7w

5. FUNCTION MACHINES
Used to help us remember the next step. You do
not have to show the function machine when
completing problems.
Input(X )
Output(Y)
7w

6. Step 2: Try some values to
determine the output.
Input(X )
Output(Y)
1
7
7w

7. Input(X )
Output(Y)
2
14
7w

8. Input(X )
Output(Y)
3
21
7w

9. Input(X )
Output(Y)
4
28
7w

10. Step 3: Using the inputs and
outputs create a function
table.
Input - X
(weeks)
1
Output - Y
(days)
7
2
14
3
21
4
28

11. To Be Continued……
There is more we can do with
functions and function tables!
We will look at that later!