1. FUNCTIONS Thinker! Real-World Functions
Is the time needed to cook a turkey (y-axis) a function of the weight of the turkey (x-axis)?
A function requires the input(x-value) MUST have only one output(y-value). Make a mock table!!!!!!!!!!!!!!!!!!!!!!!!!!

2. It would be a function
It takes 20 minutes to bake a one-pound turkey, 40 minutes for a two-pound turkey, etc. so no y-value (cooking time) will ever have the same x-value (weight) unless you screw up baking your turkey.
Weight of Turkey(lbs)
Cooking Time for Turkey(minutes) 1 20 2 40 3 60 4 80

3. Common Core #11
Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output.

4. Definitions
The set of the first coordinates is called the domain(x-value) of the relation.
The set of the second coordinates is called the range(y-value) of the relation.
Any set of ordered pairs is called a relation.
A Function is a relation in which each element of the domain is paired with exactly one element in the range.

5. Functions
Given this table of values , what is the domain? x y -4 5 -2 6 2
Domain: {-4, -2, 0}
Domain is ALWAYS the first set of numbers or the X-values

6. Functions
Given this table of values , what is the range? x y -4 5 -2 6 2
Range: {5, 6, 2}
Range is ALWAYS the second set of numbers or the Y-values

7. The Domain and Range Look on page 68 at #15.
Find the domain and range given the table.
Domain {1, 4, 8, 14}
Range {27, 39, 50, 62}
Now write a sentence explaining the difference between the domain and range.

8. Functions
Now we need to figure out given a set of ordered pairs or a table of x- and y- values, is the relation a function.

9. Relations and Functionsx y -4 5 -2 6 2 1 7 3 -5
Copy this table down.
Is this relation a function? Can we tell based on this?
This is a function because each domain/x-value/input HAS EXACTLY ONE range/y-value/output.

10. Is the relation a function?x Y 1 2 3 4
Relation is (0,1), (1,2), (1,3), (2,4)
Make a table with domain and range and determine if this relation is a function.

11. IT IS NOT A FUNCTION
Because the y-coordinates of 2 and 3 have the same different x-coordinate of 1.

12. Is the relation a function?x y 1 2 3 4
This is a function because it is OK for the y-values to be the same JUST not the x-values.

13. Notebook Examples Answers Yes No
Are these relations functions? Yes or No and explain your answer.
#1 (-5, 2),(-1, 4), (2, -5), (4, -1)
#2 (-1, 3),(-1, 2), (0, -4), (2, 4) #3 x y -5 -3 1 2
Answers
Yes No

14. Real-World Functions
I want you to try and come up with a real-world situation that would represent a function(like the baking a turkey example) using input and output values. Also try to come up with a real-world situation that is NOT a function. You will have to think mucho hard!!!!!!!!!