Functions

What’s a function and what can it look like? …

Created by Rene’ McKibbin

Function – each member of the first set of data is mapped to only one member of the second set of data – for every x there can only be one y

Tablesx y

-3 -9

-2 -7

-1 -5

0 -3

1 -1

2 1

x y

10 0

12 1

14 1

16 3

18 4

20 6

x y

1 13

2 11

3 9

4 5

4 1

5 0

Function FunctionNot a Function

TablesFood Drinks

Pizza Coke

Hot Dog Dr. Pepper

Hamburger

Coke

Chicken Sprite

Salad Water

Food Drinks

Pizza Water

Hot Dog Coke

Chicken Mr. Pibb

Pizza Pepsi

Hamburger

Pepsi

Function Not a Function

MAPPINGs

-6

-5

-4

-3

-2

0

1

5

6

9

0

1

2

3

4

11

15

15

10

7

FunctionNot a Function

GraphsNote: If trying to determine if a graph is a function you must do the vertical line test, the line can only pass through the graph one time (red line)

Not a Function

Function

Function

Graphs

Function

Not a Function

Domain & range

Domain – the set of all possible values that can be assigned to the independent variable in a function – your x value

Range – the set of all possible values of the dependent variable in a function – your y value

Ex: (8,9), (-7,12), (0,5), (6,3)domain – {8, -7, 0, 6} or D: {-7 < x < 8}range – {9, 12, 5, 3} or R: {3 < y < 12}