Functions

FunctionsFunctions

Warm UpWarm Up• Figure out what the pattern is.• J, F, M, A, M, J, J…• S, M, T, W…• O, T, T, F…• George, John, Thomas, James… • M, V, E, M, ... • 0, 1, 1, 2, 3, 5, 8, …

• The most popular meal ordered at US restaurants is _________________

What would you pick?What would you pick?

• What do you put in?

• What do you get out?

• How do you control what comes out?

• Does the input ever change?

• Does the output ever change?

• How many items do you get out each time?

Input Output TableInput Output Table

• On the next slide, make your own input output table for the above pattern.

Input Output TableInput Output Table

Figure Dots1

• Let’s graph our table as if they are ordered pairs.

GraphGraph

• Graph the following table.

X y

-2 2

-1 4

0 6

0 8

1 10

2 12

Function Function

• A function must have only one output for each input. Are the following functions?

In Out

1 3

1 4

2 5

3 6

In Out

1 3

2 6

3 11

4 18

In Out

9 5

9 4

8 3

7 2

ImportantImportant• With a function, we always want to know what

we’re going to get out. If I put my dollar into the vending machine, I want my candy bar, not a bag of chips. No surprises!

True of False• For each input, you can have more than one

output. • More than one input can have the same output.

VocabularyVocabulary

• A function is a ___________ that establishes a relationship between two numbers.

• The collection of all the inputs is called the ______________ of a function.

• The collection of all the outputs is called the ______________ of a function.