Acc. Coordinate Algebra / Geometry A Day 28 Agenda: 1. Notes from a PPT: Functions vs. Relations / Domain & Range 2. Homework: Unit 3 Pre-Test Learning.

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Presentation transcript:

Acc. Coordinate Algebra / Geometry A Day 28 Agenda: 1. Notes from a PPT: Functions vs. Relations / Domain & Range 2. Homework: Unit 3 Pre-Test Learning Target: Students will know what a function is in comparison to a relation, and how to determine domain & range. Standard: MCC9-12.F.IF.1 and 2

Functions vs Relations

Relation Any set of input that has an output

Function A relation where EACH input has exactly ONE output Each element from the domain is paired with one and only one element from the range

Domain x – coordinates Independent variable Input

Range y – coordinates Dependent variable Output

Revisit the warm up: It’s Hat Day at the Braves game and every child 10 years old and younger gets a team Braves hat at Gate 7. The policies at the game are very strict. ▫ Every child entering Gate 7 must get a hat. ▫ Every child entering Gate 7 must wear the hat. ▫ Only children age 10 or younger can enter Gate 7. ▫ No child shall wear a different hat than the one given to them at the gate. 1.What is the gate’s input? 2.What is the gate’s output? Going in: Children 10 & younger without hats Coming out of Gate 7: Children 10 & younger WITH hats

How do I know it’s a function? Look at the input and output table – Each input must have exactly one output. Look at the Graph – The Vertical Line test: NO vertical line can pass through two or more points on the graph

Example 1: {(3, 2), (4, 3), (5, 4), (6, 5)} function

Example 2: relation

Example 3: relation

Example 4: ( x, y) = (student’s name, shirt color) function

Example 5: Red Graph relation

Example 6 function Jacob Angela Nick Greg Tayla Trevor Honda Toyota Ford

Example 7 function A person’s cell phone number versus their name.

Domain and Range Only list repeats once Put in order from least to greatest

12. What are the Domain and Range? Domain: Range: {} {1, 2, 3, 4, 5, 6} {} {1, 3, 6, 10, 15, 21}

13. What are the Domain and Range? Domain: Range: {0, 1, 2, 3, 4} {} {1, 2, 4, 8, 16}

14. What are the Domain and Range? Domain: Range: All Reals

15. What are the Domain and Range? Domain: Range: x ≥ -1 All Reals

Homework Unit 3 Pre-Test -Go to my blog and print off the pre-test and complete it for homework. -Pretend you are in class taking the pre-test – don’t look anything up, cheat with a friend, or ask your parents for help. -Yes, you can use your calculator (you can all year long unless I say otherwise).