Download - 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.