Bell Ringer: copy vocabulary Vocabulary: you will look up and define. You are responsible for knowing by test day. Put words on your Bell Ringer sheet and keep you sheet from this week. You all earned participation for this week already! RelationRelation Discrete relationDiscrete relation Continuous relationContinuous relation DomainDomain RangeRange FunctionFunction 1 Look up as I complete textbook distribution Just write words

Objectives F.IF.4,9 (Comparing Functions) F.IF.6 (Rates of Change) F.BF.3 (Transformations) make your notes count

3 Relationships Around Us… Key words: Domain Range Function

4 Representations of RELATIONS Sets of Ordered Pairs Mappings Table of Values Graphs in Coordinate Planes Algebraic Statements 4 { (2, 3), (-1/2, 4), (2.1, 0)} y = x 2 - 5

5 Definition of FUNCTION A FUNCTION is a specialized RELATION, with the stipulation that each domain element (typically designated by “x”) is paired with one and only one element from the range (typically designated by “y” or by “f(x)”. Example of a relation that is a function: {(2,3), (-2,3), (4,1)} Example of a relation that is NOT a function: {(2,3), (4,3), (4,1)} 5

Teaching note Students will come to board to plot following slide Offer students erase grid sheet to do at desk do not call NB 6

Graph (2, -1) (1, 0) (0, 1) (-1, 2) (0, 3) (1, 4) (2, 5) What are the intercepts? What is the domain? What is the range? Is the RELATION a FUNCTION?

8 Which of the following relations is NOT a function? Each x pairs with only one y. (All x values in column are different.) The x-value “2” is paired with three different y-values. (The same x-value is listed more than once.)

Teaching note Have to write X value again…not a function 9

10 Which of the following is NOT a function? The x-value “1” is mapped to two different y-values. Each x pairs with only one y. (Only one arrow coming out of each x-value.)

11 Which of the following relations is NOT a function? 11 Each x pairs with only one y. (Line only touches one point at time as it moves across.) There are x’s paired with more than one y. (Line touches more than one point on graph as it moves across.

Teaching note At end of next slide ask students what an intercept is. Prior to next slides put students into competition groups – Students will need dry erase boards to hold up answers – Have another student monitor winner – winning team gets candy – Offer for students to come to board for better seeing of slides 12

{(4,7), (8, 15), (21, 41), (-6, -13)} Is this relation a function? What is the domain? What is the range? What are the intercepts? Yes, because all the x-values are unique. D= {-6, 4, 8, 21} R= {-13, 7, 15, 41} There are NO INTERCEPTS.

14 B A

Which is NOT a function? Explain why.

What is the domain of each relation?

What is the range of each relation?

What are the intercepts?

Assignment Group work / activity Analyzing Functions Analyzing Functions packet due _____________ 19