1. Do Now Determine if the correspondence would be a function: DomainCorrespondenceRange A familyEach person’s weight A set of positive numbers Students at BMHS Each person’s Geometry teacher A set of teachers All of the states in the US Each state’s members of the US Senate A set of US Senators All NFL Quarterbacks The team he plays forA set of NFL Teams All NFL TeamsTheir quarterbacksA set of quarterbacks

2. 1) Dom: [-4]  [-3]  [0]  [4]  [5] Range: [-2]  [-1]  [0]  [3]  [4] 2) Dom: [-5]  [-3]  [3]  [5] Range: [0]  [2]  [3]  [4]  [5] 3) Function Answers to Homework 4) Not a function: -9 in the domain is paired with 6 and 0. 5) Relation is a function. Each element in the domain is paired with one element in the range. 6) Relation is a function. 7) Relation is not a function, 4 in the domain is paired with -1 and 9. 8) Relation is not a function, 100 in the domain is paired with 5 and -13. 9) Relation is a function. 10) Relation is not a function, -7 is paired with 14 and 800. 11) Relation is not a function. 5 is paired with 7, -3, 4 and -1. 12) Relation is a function. Dom -3 5 -4 7 0 Ran 8 -2 0 9 Dom -9 7 5 -3 Ran 6 -2 0 8 -5

3. Homework Need help? Look in section 2.1 – Relations & Functions in your textbook Worksheet: Vertical Line Test & Function Notation

4. Day 7: The Vertical Line Test

5. Objectives To determine if a graph represents a function To use function notation to simplify functions

6. Relations & Functions Review What is domain? What is range? When is a relation a function? When is a relation NOT a function?

7. Relations & Functions on a Graph Relation is a Function Relation is NOT a function x: domain y: range x: domain y: range

8. The Vertical Line Test A graph represents a function if it is impossible to draw a vertical line that intersects the graph more than once. Function – passes VLT Not a Function – fails VLT

9. Functions Determine if the following graph represents a function. Function – passes VLT Not a Function – fails VLT

10. Functions Determine if the following graph represents a function. Not a Function – fails VLT Function – passes VLT

11. Function Notation xy 211 314 417 input output input Read f(x) as “f of x” IT IS NOT “f times x”

12. Function Notation A function f is given by Find f(5). Find f(d). Whatever goes in the blank near the f, must go in every blank in the equation Find f(-4). Find f(6x).

13. Did you meet today’s objective? How can you determine if a relation is a function using a graph? a set of points? a table? a mapping diagram? How is function notation the same/different from a typical equation?