1. Functions, Equations, and Graphs Ch. 2.1 Relations and Functions EQ: How can I determine if a relation is a function? I will describe what makes a relation a function.

2. Bell Work EQ: How can I determine if a relation is a function? I will describe what makes a relation a function.

3. Random Announcements…  Seating Chart  Data  Grading  CW- 40%  Quiz/Test- 40%  Homework- 10%  Notebook Check- 10% EQ: How can I determine if a relation is a function? I will describe what makes a relation a function.

4. Relations and Functions READ A relation is a set of ordered pairs. Some relations meet a special condition that makes them functions. In a functions each item from the domain pairs with exactly one item from the range. A relations is identified as a function if  its graph passes the vertical line test  its domain values appear only once (in a list of ordered pairs, in a table, or on a mapping diagram), or  its mapping diagram maps each input to only one output. (This means only one arrow can be drawn from each input value.) EQ: How can I determine if a relation is a function? I will describe what makes a relation a function.

5. Relations and Functions  https://www.khanacademy.org/math/cc-eighth- grade-math/cc-8th-linear-equations-functions/cc-8th- function-intro/v/relations-and-functions https://www.khanacademy.org/math/cc-eighth- grade-math/cc-8th-linear-equations-functions/cc-8th- function-intro/v/relations-and-functions EQ: How can I determine if a relation is a function? I will describe what makes a relation a function.

6. Relations EQ: How can I determine if a relation is a function? I will describe what makes a relation a function.

7. Representing a Relation EQ: How can I determine if a relation is a function? I will describe what makes a relation a function.

8. Representing a Function EQ: How can I determine if a relation is a function? I will describe what makes a relation a function. Now you try…

9. Finding Domain and Range EQ: How can I determine if a relation is a function? I will describe what makes a relation a function.

10. Finding domain and range EQ: How can I determine if a relation is a function? I will describe what makes a relation a function. Now you try…

11. Identifying a function EQ: How can I determine if a relation is a function? I will describe what makes a relation a function.

12. Identifying a function Now you try… EQ: How can I determine if a relation is a function? I will describe what makes a relation a function.

13. Vertical-Line test EQ: How can I determine if a relation is a function? I will describe what makes a relation a function.

14. Vertical-Line Test Now you try… EQ: How can I determine if a relation is a function? I will describe what makes a relation a function.

15. Need to know… EQ: How can I determine if a relation is a function? I will describe what makes a relation a function.

16. Function Notation EQ: How can I determine if a relation is a function? I will describe what makes a relation a function.

17. Function Notation Now you try… For f(x)=-4x + 1, what is the output for the given input? a.-2 b.0 c.5 EQ: How can I determine if a relation is a function? I will describe what makes a relation a function.

18. Closure (On your bell sheet) EQ: How can I determine if a relation is a function? I will describe what makes a relation a function.