1. I can’t Function without Candy!

2. Hungry?
Make a selection…

3. 1 4 2 5 3 6

10. Select the correct candy to match the correct number to make ordered pairs of input and output values.
( 1, )
( 2, )
( 3, )
( 5, )
( 4, )
( 6, )

11. Let’s represent our candy machine in another way…
If you press the following button…
You get this candy. 1 2 3 4 5 6

12. If the candy machine input and output is graphed, it could look like this:
Starburst
Hershey’s 1 3 5 2 4 6
Skittles
Snickers
Reese’s
Input
Output

13. input value So you could say…
Our Candy Machine functions properly because for each
input value
there is one and only one
output value.

14. The next day, Charlie Confectionary had a strong candy craving.
He bought candy for himself and all his friends. Charlie is so generous.

15. The Order: 2 Reese’s 2 Hershey Bars 2 Snickers 1 Skittles 1 Starburst
HOWEVER, when Charlie went to the machine he got something totally unexpected….

16. When Charlie selected the numbers, this is what he received.1 2 3 4 5 6

17. So these are the results Charlie received…
( 1, )
Did the candy machine FUNCTION correctly?
( 1, )
( 2, )
( 2, )
( 5, )
( 3, )
( 6, )
( 4, )

18. Here’s the non-functioning machine output displayed in a graph…
Starburst
Hershey’s 1 3 5 2 4 6
Skittles
Snickers
Reese’s
Input
Output
Notice there is more than one output value for the input values of 1 and of 2.

19. So what does all this candy have to do with math?
A function is a relation between two variables or quantities. (In our case the number on the candy machine and the kind of candy you received.)
A function has only one output value for each input value. (In our case we should only get one kind of candy bar for each button number we push)
In math terms, we have only one dependent (y) value for each individual independent (x) value.

20. Which graph shows a function?B
Starburst
Hershey’s 1 3 5 2 4 6
Skittles
Snickers
Reese’s
Input
Output
Starburst
Hershey’s 1 3 5 2 4 6
Skittles
Snickers
Reese’s
Input
Output
How do you know?

21. Which of the following display functional relationships?B C
How do you know?

22. Which of the following display functional relationships?
How do you know? A B C

23. Which of the following display functional relationships?x -3 -2 -1 1 2 3
f(x) 14 10 6 -6
-10 A x -3 -2 -1 y 7 B x -3
f(x) 3 2 1 -1 -2 C
How do you know?

24. Bonus Time--A little extra sweetness!
Graph each of these relations. What do they make? Were your decisions whether they were functions or not correct? x -3 -2 -1 y 7 x -3
f(x) 3 2 1 -1 -2

25. Your change…show what you know….
On an index card or sheet of paper, give an example of a real life functional relationship.
Then give an example of a graph, table and mapping that displays a function.
Then give an example of a graph, table and mapping that displays a relation that is not a function.
You may use your book or your neighbor to help with this task.